A) \[\log 4\]sq. unit done clear
B) \[(\log 4+1)\]sq. unit done clear
C) \[(\log 4-1)\]sq. unit done clear
D) None of these done clear
View Solution play_arrowA) \[\frac{{{e}^{{{a}^{2}}}}+1}{2}\]sq. unit done clear
B) \[\frac{{{e}^{{{a}^{2}}}}-1}{2}\]sq. unit done clear
C) \[{{e}^{{{a}^{2}}}}+1\]sq. unit done clear
D) \[{{e}^{{{a}^{2}}}}-1\]sq. unit done clear
View Solution play_arrowquestion_answer3) Area bounded by the curve \[y=\sin x\] between \[x=0\] and \[x=2\pi \] is
A) 2 sq. unit done clear
B) 4 sq. unit done clear
C) 8 sq. unit done clear
D) None of these done clear
View Solution play_arrowA) 3 sq. unit done clear
B) \[\frac{7}{5}\]sq. unit done clear
C) \[\frac{7}{3}\]sq. unit done clear
D) None of these done clear
View Solution play_arrowquestion_answer5) Area bounded by the lines \[y=x,\,\,x=-1,\,\,x=2\] and \[x-\]axis is
A) \[\frac{5}{2}\]sq. unit done clear
B) \[\frac{3}{2}\]sq. unit done clear
C) \[\frac{1}{2}\]sq. unit done clear
D) None of these done clear
View Solution play_arrowA) 8 done clear
B) \[2\sqrt{2}\] done clear
C) 2 done clear
D) \[\sqrt{2}\] done clear
View Solution play_arrowA) 2 done clear
B) 4 done clear
C) 0 done clear
D) 3 done clear
View Solution play_arrowA) 64 sq. unit done clear
B) 27 sq. unit done clear
C) \[\frac{127}{4}\]sq. unit done clear
D) \[\frac{255}{4}\]sq. unit done clear
View Solution play_arrowquestion_answer9) Area bounded by curve \[xy=c,\] \[x-\]axis between \[x=1\] and \[x=4,\] is
A) \[c\log 3\]sq. unit done clear
B) \[2\log c\]sq. unit done clear
C) \[2c\log 2\]sq. unit done clear
D) \[2c\log 5\]sq. unit done clear
View Solution play_arrowquestion_answer10) Area bounded by curve \[y=k\sin x\]between \[x=\pi \] and \[x=2\pi ,\] is
A) \[2k\] sq. unit done clear
B) 0 done clear
C) \[\frac{{{k}^{2}}}{2}\] sq. unit done clear
D) \[k\] sq. unit done clear
View Solution play_arrowA) 0 done clear
B) \[2\pi \] sq. unit done clear
C) \[\pi \] sq. unit done clear
D) \[4\pi \] sq. unit done clear
View Solution play_arrowA) 2 sq. unit done clear
B) 1 sq. unit done clear
C) 3 sq. unit done clear
D) 4 sq. unit done clear
View Solution play_arrowA) \[\frac{56}{9}\] sq. unit done clear
B) \[\frac{64}{9}\] sq. unit done clear
C) 8 sq. unit done clear
D) None of these done clear
View Solution play_arrowA) 2 done clear
B) \[-2\] done clear
C) \[\frac{1}{2}\] done clear
D) None of these done clear
View Solution play_arrowA) \[\frac{4}{3}\] done clear
B) 1 done clear
C) \[\frac{2}{3}\] done clear
D) \[\frac{1}{3}\] done clear
View Solution play_arrowquestion_answer16) Area bounded by lines \[y=2+x,\] \[y=2-x\] and \[x=2\] is [MP PET 1996]
A) 3 done clear
B) 4 done clear
C) 8 done clear
D) 16 done clear
View Solution play_arrowA) \[\sqrt{2}:1\] done clear
B) \[1:1\] done clear
C) \[1:2\] done clear
D) \[2:1\] done clear
View Solution play_arrowA) \[\frac{15}{2}\] sq. unit done clear
B) \[\frac{15}{4}\] sq. unit done clear
C) \[\frac{17}{2}\] sq. unit done clear
D) \[\frac{17}{4}\] sq. unit done clear
View Solution play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Solution play_arrowA) \[4{{a}^{2}}\] done clear
B) \[4{{a}^{2}}.4\] done clear
C) \[4{{a}^{2}}(9-4)\] done clear
D) \[\frac{152\sqrt{a}}{3}\] done clear
View Solution play_arrowA) 2 done clear
B) 4 done clear
C) \[2\pi \] done clear
D) \[4\pi \] done clear
View Solution play_arrowA) \[\log \sqrt{2}\] done clear
B) \[-\log \sqrt{2}\] done clear
C) \[2\log 2\] done clear
D) 0 done clear
View Solution play_arrowA) \[a=3,\,b=-1\] done clear
B) \[a=3,\,b=1\] done clear
C) \[a=-3,\,b=1\] done clear
D) \[a=-3,\,b=-1\] done clear
View Solution play_arrowA) \[\frac{1}{2}\] done clear
B) 1 done clear
C) \[-1\] done clear
D) 2 done clear
View Solution play_arrowA) \[\sqrt{x-1}\] done clear
B) \[\sqrt{x+1}\] done clear
C) \[\sqrt{{{x}^{2}}+1}\] done clear
D) \[\frac{x}{\sqrt{1+{{x}^{2}}}}\] done clear
View Solution play_arrowA) \[3(x-1)\cos (3x+4)+\sin (3x+4)\] done clear
B) \[(b-1)\sin (3x+4)+3\cos (3x+4)\] done clear
C) \[(b-1)\cos (3x+4)+3\sin (3x+4)\] done clear
D) None of these done clear
View Solution play_arrowA) 1 done clear
B) \[\frac{2}{3}\] done clear
C) \[\frac{4}{3}\] done clear
D) \[\frac{8}{3}\] done clear
View Solution play_arrowA) \[\frac{16}{3}sq.\,unit\] done clear
B) \[-\frac{16}{3}sq.\,unit\] done clear
C) \[\frac{4}{7}sq.\,unit\] done clear
D) Cannot be calculated done clear
View Solution play_arrowA) \[16\log 2-13\] done clear
B) \[16\log 2-3\] done clear
C) \[16\log 2+3\] done clear
D) None of these done clear
View Solution play_arrowA) \[\frac{16}{3}\] done clear
B) \[\frac{64}{3}\] done clear
C) \[7\sqrt{2}\] done clear
D) None of these done clear
View Solution play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) \[\infty \] done clear
View Solution play_arrowquestion_answer32) Area bounded by the parabola \[{{y}^{2}}=2x\] and the ordinates \[x=1,x=4\] is
A) \[\frac{4\sqrt{2}}{3}sq.\,unit\] done clear
B) \[\frac{28\sqrt{2}}{3}sq.\,unit\] done clear
C) \[\frac{56}{3}\text{ }sq. unit\] done clear
D) None of these done clear
View Solution play_arrowA) \[\frac{4}{3}-\frac{1}{\log 2}\] done clear
B) \[\frac{3}{\log 2}+\frac{4}{3}\] done clear
C) \[\frac{4}{\log 2}-1\] done clear
D) \[\frac{3}{\log 2}-\frac{4}{3}\] done clear
View Solution play_arrowA) \[\frac{4\pi }{3}-\sqrt{3}\] done clear
B) \[\frac{8\pi }{3}-\sqrt{3}\] done clear
C) \[\frac{4\pi }{3}+\sqrt{3}\] done clear
D) \[\frac{5\pi }{3}+\sqrt{3}\] done clear
View Solution play_arrowA) \[\frac{\pi }{2}\] done clear
B) \[\frac{\pi }{4}\] done clear
C) \[\frac{\pi }{8}\] done clear
D) \[\pi \] done clear
View Solution play_arrowA) \[\frac{\pi }{2}\] done clear
B) \[\frac{\pi }{4}\] done clear
C) \[\frac{\pi }{3}\] done clear
D) \[\pi \] done clear
View Solution play_arrowA) \[{{a}^{2}}\] done clear
B) \[2{{a}^{2}}\] done clear
C) \[3{{a}^{2}}\] done clear
D) \[4{{a}^{2}}\] done clear
View Solution play_arrowA) \[x={{y}^{2}}\] done clear
B) 1 done clear
C) \[\sqrt{2}\] done clear
D) \[1+\sqrt{2}\] done clear
View Solution play_arrowA) \[37\pi /3\] done clear
B) \[7\pi \sqrt{2}\] done clear
C) \[37\pi \] done clear
D) \[y={{x}^{2}}\] done clear
View Solution play_arrowA) \[\frac{30}{7}\] sq. unit done clear
B) \[\frac{31}{7}\] sq. unit done clear
C) \[\frac{32}{3}\] sq. unit done clear
D) \[\frac{34}{3}\] sq. unit done clear
View Solution play_arrowA) \[\frac{1}{4}\] done clear
B) \[\frac{4}{3}\] done clear
C) \[\log \sqrt{2}-\frac{1}{4}\] done clear
D) None of these done clear
View Solution play_arrowquestion_answer42) The area between the curve \[y=4+3x-{{x}^{2}}\] and x-axis is [RPET 2001]
A) 125/6 done clear
B) 125/3 done clear
C) 125/2 done clear
D) None of these done clear
View Solution play_arrowA) 0 done clear
B) 1/2 done clear
C) 3/2 done clear
D) 5/2 done clear
View Solution play_arrowA) \[4{{a}^{2}}\] done clear
B) \[8{{a}^{2}}\] done clear
C) \[28\frac{{{a}^{2}}}{3}\] done clear
D) \[35\frac{{{a}^{2}}}{3}\] done clear
View Solution play_arrowquestion_answer45) The area bounded by \[y=-{{x}^{2}}+2x+3\]and\[y=0\] is [Orissa JEE 2004]
A) \[32\] done clear
B) \[\frac{32}{3}\] done clear
C) \[\frac{1}{32}\] done clear
D) \[\frac{1}{3}\] done clear
View Solution play_arrowA) \[\frac{5}{3}\] done clear
B) \[\frac{5}{4}\] done clear
C) \[\frac{5}{12}\] done clear
D) \[\frac{12}{5}\] done clear
View Solution play_arrowA) \[\frac{1}{6}\]sq. unit done clear
B) \[\frac{1}{3}\]sq. unit done clear
C) \[\frac{1}{2}\]sq. unit done clear
D) None of these done clear
View Solution play_arrowA) \[\frac{2}{3}{{a}^{2}}\]sq. unit done clear
B) \[\frac{4}{3}{{a}^{2}}\]sq. unit done clear
C) \[\frac{8}{3}{{a}^{2}}\]sq. unit done clear
D) \[\frac{3}{8}{{a}^{2}}\]sq. unit done clear
View Solution play_arrowquestion_answer49) Area enclosed by the parabola \[ay=3({{a}^{2}}-{{x}^{2}})\] and x-axis is
A) \[4\,{{a}^{2}}\]sq. unit done clear
B) \[12\,{{a}^{2}}\]sq. unit done clear
C) \[4\,{{a}^{3}}\]sq. unit done clear
D) None of these done clear
View Solution play_arrowA) \[\pi \,ab\]sq. unit done clear
B) \[\frac{1}{2}\pi \,ab\]sq. unit done clear
C) \[\frac{1}{4}\pi \,ab\]sq. unit done clear
D) None of these done clear
View Solution play_arrowA) 2 done clear
B) 1 done clear
C) \[\frac{1}{2}\] done clear
D) None of these done clear
View Solution play_arrowA) \[\frac{4}{3}{{a}^{2}}\] done clear
B) \[\frac{8}{3}{{a}^{2}}\] done clear
C) \[\frac{2}{3}{{a}^{2}}\] done clear
D) \[\frac{5}{3}{{a}^{2}}\] done clear
View Solution play_arrowA) \[\pi {{a}^{2}}\] done clear
B) \[2\pi {{a}^{2}}\] done clear
C) \[3\pi {{a}^{2}}\] done clear
D) \[4\pi {{a}^{2}}\] done clear
View Solution play_arrowA) 1/3 done clear
B) 2/3 done clear
C) 4/3 done clear
D) 8/3 done clear
View Solution play_arrowA) \[\frac{1}{2}(9{{\sec }^{-1}}3-\sqrt{8})\] done clear
B) \[9{{\sec }^{-1}}(3)-\sqrt{8}\] done clear
C) \[\sqrt{8}-9{{\sec }^{-1}}(3)\] done clear
D) None of these done clear
View Solution play_arrowA) 4 done clear
B) 2 done clear
C) 3 done clear
D) 1 done clear
View Solution play_arrowA) \[\frac{14}{3}\] sq. unit done clear
B) \[\frac{3}{4}\] sq. unit done clear
C) \[\frac{3}{16}\] sq. unit done clear
D) \[\frac{16}{3}\] sq. unit done clear
View Solution play_arrowquestion_answer58) The area bounded by the curves \[{{y}^{2}}=8x\] and \[y=x\] is
A) \[\frac{128}{3}\] sq. unit done clear
B) \[\frac{32}{3}\] sq. unit done clear
C) \[\frac{64}{3}\] sq. unit done clear
D) 32 sq. unit done clear
View Solution play_arrowA) \[3-e\] done clear
B) \[e-3\] done clear
C) \[\frac{1}{2}(3-e)\] done clear
D) \[\frac{1}{2}(e-3)\] done clear
View Solution play_arrowA) \[\frac{8}{3}{{a}^{2}}\] done clear
B) \[\frac{4}{3}{{a}^{2}}\] done clear
C) \[\frac{32}{3}{{a}^{2}}\] done clear
D) \[\frac{16}{3}{{a}^{2}}\] done clear
View Solution play_arrowA) 1/6 done clear
B) 1/3 done clear
C) 5/6 done clear
D) 5/3 done clear
View Solution play_arrowA) \[\sqrt{2}\] done clear
B) \[\sqrt{2}+1\] done clear
C) \[\sqrt{2}-1\] done clear
D) \[\sqrt{2}(\sqrt{2}-1)\] done clear
View Solution play_arrowA) \[\frac{({{\pi }^{3}}-8)}{4}\] done clear
B) \[\frac{{{\pi }^{3}}}{4}\] done clear
C) \[\frac{({{\pi }^{3}}-16)}{4}\] done clear
D) \[\frac{({{\pi }^{3}}-8)}{2}\] done clear
View Solution play_arrowA) \[\frac{7}{3}\] done clear
B) \[\frac{1}{3}\] done clear
C) \[\frac{5}{3}\] done clear
D) 1 done clear
View Solution play_arrowA) \[\frac{{{\pi }^{2}}}{5}\] done clear
B) \[\frac{{{\pi }^{2}}}{2}\] done clear
C) \[\frac{{{\pi }^{2}}}{3}\] done clear
D) \[\frac{\pi }{4}-\frac{1}{2}\] done clear
View Solution play_arrowA) \[e+\frac{1}{e}\] done clear
B) \[e-3\] done clear
C) \[e+\frac{1}{e}-2\] done clear
D) \[e+\frac{1}{e}+2\] done clear
View Solution play_arrowA) \[9\pi /5\] done clear
B) \[4\pi /3\] done clear
C) \[8\pi /3\] done clear
D) \[7\pi /5\] done clear
View Solution play_arrowA) \[\frac{21}{5}\pi \] done clear
B) \[\frac{24}{5}\pi \] done clear
C) \[\frac{2}{15}\pi \] done clear
D) \[\frac{5}{24}\pi \] done clear
View Solution play_arrowA) \[5\pi \,c{{m}^{2}}\] done clear
B) \[10\pi \,c{{m}^{2}}\] done clear
C) \[15\pi \,c{{m}^{2}}\] done clear
D) \[40\pi \,c{{m}^{2}}\] done clear
View Solution play_arrowA) \[\frac{{{a}^{2}}}{3}\] sq. unit done clear
B) \[\frac{1}{3{{a}^{2}}}\] sq. unit done clear
C) \[\frac{1}{3a}\] sq. unit done clear
D) \[\frac{2}{3a}\] sq. unit done clear
View Solution play_arrowA) \[\frac{46}{3}\pi \] done clear
B) \[12\pi \] done clear
C) \[16\pi \] done clear
D) \[28\pi \] done clear
View Solution play_arrowA) \[\frac{8}{9}\] sq. unit done clear
B) \[\frac{9}{8}\] sq. unit done clear
C) \[\frac{4}{3}\] sq. unit done clear
D) None of these done clear
View Solution play_arrowA) Zero done clear
B) \[\frac{1}{3}\] done clear
C) \[\frac{2}{3}\] done clear
D) 1 done clear
View Solution play_arrowA) \[\frac{32}{3}\,{{a}^{2}}\] sq. unit done clear
B) \[\frac{16}{3}\] sq. unit done clear
C) \[\frac{32}{3}\] sq. unit done clear
D) \[\frac{16}{3}\,{{a}^{2}}\] sq. unit done clear
View Solution play_arrowA) 1 done clear
B) \[\frac{1}{\sqrt{3}}\] done clear
C) \[\frac{1}{3}\] done clear
D) None of these done clear
View Solution play_arrowA) 9 done clear
B) \[\frac{27}{4}\] done clear
C) 36 done clear
D) 18 done clear
View Solution play_arrowA) 3 done clear
B) 4 done clear
C) 1 done clear
D) 2 done clear
View Solution play_arrowA) \[2:1:2\] done clear
B) \[1:1:1\] done clear
C) \[1:2:1\] done clear
D) \[1:2:3\] done clear
View Solution play_arrowA) \[1:1\] done clear
B) \[2:1\] done clear
C) \[1:2\] done clear
D) None of these done clear
View Solution play_arrowA) \[9\pi \] done clear
B) \[4\pi \] done clear
C) \[36\pi \] done clear
D) \[6\pi \] done clear
View Solution play_arrowA) 1/6 done clear
B) 2/3 done clear
C) 1/4 done clear
D) 1/3 done clear
View Solution play_arrowA) \[\left( 1-\frac{\pi }{4}-\sqrt{2} \right)\] done clear
B) \[\left( 1-\frac{\pi }{4}+\sqrt{2} \right)\] done clear
C) \[\left( \frac{\pi }{4}+\sqrt{2}-1 \right)\] done clear
D) \[\left( \frac{\pi }{4}-\sqrt{2}+1 \right)\] done clear
View Solution play_arrowquestion_answer83) Area bounded by curves \[y={{x}^{2}}\] and \[y=2-{{x}^{2}}\] is [Orissa JEE 2005]
A) 8/3 done clear
B) 3/8 done clear
C) 3/2 done clear
D) None of these done clear
View Solution play_arrowA) 6 sq. unit done clear
B) 5/6 sq. unit done clear
C) 1/6 sq. unit done clear
D) None of these done clear
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