JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +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: C

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

Option C (

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

) is correct because evaluating the integral and applying the initial condition leads to the given result.

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