JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

f(x)

is an odd periodic function defined on the interval

[-T / 2, T / 2]

, where

T

is the period of

f(x)

. Then

\phi(x)=\int\limits_{a}^x f(t) d t

, is

View answer and explanation

Correct option: A

periodic with period

T

Option A (

\pi \log 2

) is correct because the integral simplifies to an expression involving known integrals of logarithmic trigonometric functions.

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