If $g(x)=\int_\limits0^x \cos ^4 t \,d t$, then $g(x+\pi)$ equals

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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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

g(x+\pi)

can be expressed as the sum of two integrals, which simplifies to

g(x)+g(\pi)

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