JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

f(x)=\int\left(\frac{x^2+\sin ^2 x}{1+x^2}\right) \sec ^2 x d x

and

f(0)=0

, then

f(1)

equals

View answer and explanation

Correct option: A

\tan 1-\frac{\pi}{4}

Option A (

\tan 1-\frac{\pi}{4}

) is correct because after integrating and using the initial condition f(0)=0, we find f(1) = tan 1 - pi/4.

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