First slide

Evaluation of definite integrals

Question

$\int_{- \frac{π}{2}}^{\frac{π}{2}} (x^{3} + x C o s x + \tan^{5} x + 1) d x =$

Easy

A

0
B

$\frac{π}{4}$
C

$\frac{π}{2}$
D

$π$

Solution

$\int_{- \frac{π}{2}}^{\frac{π}{2}} (x^{3} + x C o s x + \tan^{5} x + 1) d x =$ $0 + 0 + 0 + \int_{- \frac{π}{2}}^{\frac{π}{2}} 1 d x = {(x)}_{- \frac{π}{2}}^{\frac{π}{2}} = π (\sin c e x^{3}, x \cos x, \tan^{5} x a r e o d d f u n c t i i o n s)$

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