Question

Solve : ${\int }_{\frac{\pi }{2}}^{\frac{\pi }{2}}(x^3+x\cos x+{\tan }^{5}x+1)dx=?$

• A. $\frac{\pi }{2}$
• B. $\pi$
• C. $0$
• D. $2$

Answer 1

The correct option is C $0$

$I={\int }_{\frac{\pi }{2}}^{\frac{\pi }{2}}(x^3+xcosx+{\tan }^{5}x+1)dx$

As limits are equal. So, they will cancel each other

$\Rightarrow I=0$