A) 0
B) \[4/3\sqrt{3}\]
C) 3/7
D) 5/6
Correct Answer: B
Solution :
\[\int_{\,0}^{\,1}{|3{{x}^{2}}-1|dx=\int_{\,0}^{\,1/\sqrt{3}}{(1-3{{x}^{2}})dx+\int_{\,1/\sqrt{3}}^{\,1}{(3{{x}^{2}}-1)dx}}}\] \[=[x-{{x}^{3}}]_{0}^{1/\sqrt{3}}+[{{x}^{3}}-x]_{1/\sqrt{3}}^{1}\] \[=\frac{1}{\sqrt{3}}-\frac{1}{3\sqrt{3}}+\frac{-1}{3\sqrt{3}}+\frac{1}{\sqrt{3}}\]\[=\frac{4}{3\sqrt{3}}\].
You need to login to perform this action.
You will be redirected in
3 sec
