Question
If $f(x)=\int \frac{x^{2} d x}{\left(1+x^{2}\right)\left(1+\sqrt{1+x^{2}}\right)}$ and $f(0)=0$, thenthe value of $f(1)$ is(A) $\log (1+\sqrt{2})$(B) $\log (1+\sqrt{2})-\frac{\pi}{4}$(C) $\log (1+\sqrt{2})+\frac{\pi}{2}$(D) none of these
Step 1
Differentiating both sides, we get $dx = \sec^2(\theta) d\theta$. Show more…
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