The value of the integral $\mathop \smallint \nolimits_0^{\pi /2} \,\,{\sin ^5}\,\,x\,dx$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of the integral

\int \nolimits_0^{\pi /2} \,\,{\sin ^5}\,\,x\,dx

View answer and explanation

Correct option: C

\frac{8}{{15}}

Option C (

\frac{8}{{15}}

) is correct because it is the result of applying Walli's formula for the definite integral of

\sin^n x

from 0 to

\pi/2

when n is odd.

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