If $g(x)=\int_\limits 0^x \cos ^4 t \, d t$, then $g(x+\pi)$ equals

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

g(x)=\int\limits_{0}^x \cos ^4 t \, d t

, then

g(x+\pi)

equals

View answer and explanation

Correct option: A

g(x)+g(\pi)

Option A (

g(x)+g(\pi)

) is correct because the integral from 0 to x+

\pi

can be split into integrals from 0 to

\pi

and

\pi

to x+

\pi

, and the second integral can be transformed to an integral from 0 to x.

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