First slide

Evaluation of definite integrals

Question

$\int_{0}^{π / 2} \cos^{10} x d x =$

Easy

A

$\frac{63 π}{510}$
B

$\frac{63 π}{512}$
C

$\frac{36 π}{512}$
D

$\frac{63 π}{500}$

Solution

$\int_{0}^{π / 2} \cos^{10} x d x = \frac{9}{10} . \frac{7}{8} . \frac{5}{6} . \frac{3}{4} . \frac{1}{2} . \frac{π}{2} = \frac{63 π}{512}$

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