JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard

1 of 1

Application +4 | -1

Find the value of

\int\limits_{0}^{\pi / 4}(\sin x)^4 d x

View answer and explanation

Correct option: B

\frac{3 \pi}{32}-\frac{1}{4}

Option B (

\frac{{3 \pi}}{{32}} - \frac{1}{4}

) is correct because the integral of

(\sin x)^4

from 0 to

\frac{\pi}{4}

is evaluated using trigonometric identities to simplify the integrand.

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[*]

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