JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_0^{{x^2}} \,\,f\left( t \right)\;dt = x\,\,\cos \,\,\pi x

, then the value of

f\left( 4 \right)

View answer and explanation

Correct option: B

\frac{1}{4}

Option B (

\frac{1}{4}

) is correct because after differentiating both sides of the given equation and solving for

f(x^2)

, we find

f(4) = \frac{1}{4}

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