A) 4
B) 5
C) 7
D) 8
Correct Answer: B
Solution :
We have, \[\frac{dy}{dx}=2x+1\] \[\Rightarrow \] \[y={{x}^{2}}+x+C,\] which will pass through (1, 2) \[\therefore \] \[2=1+1+C\Rightarrow \,C=0\] \[\therefore \] \[y={{x}^{2}}+\,x\] Is the required curve \[\therefore \] Required area \[=\int_{0}^{1}{({{x}^{2}}+x)\,dx}\] \[=\left[ \frac{{{x}^{3}}}{3}+\frac{{{x}^{2}}}{2} \right]_{0}^{1}\] \[\Rightarrow \] \[\frac{5}{6}=k\] \[\Rightarrow \] \[6k=5\]You need to login to perform this action.
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