JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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f\left( t \right)

is a continuous function defined on

\left[ {a,\;\,b} \right]

such that

f\left( t \right)

is an odd function, then the function

\phi \,\,\left( x \right) = \int \limits_a^x \,\,f\left( t \right)dt

View answer and explanation

Correct option: B

Is an even function

Option B (Is an even function) is correct because when f(t) is an odd function, its integral from a to x results in an even function.

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