Evaluate the following integrals.

MATHEMATICS · Multi-part · A Level · Mathematics · Integration · Integration

Problem

Evaluate the following integrals. (a) ∫x1+x2 dx\displaystyle \int \frac{x}{1+x^{2}}\,dx. (b) Hence, compute ∫01x1+x2 dx\displaystyle \int_{0}^{1} \frac{x}{1+x^{2}}\,dx.

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