Evaluate the following. $\int_{-1}^{1} \frac{x+1}{(x^{2}+2x+2)^{3}} \mathrm{d}x$ \(\int_{-1}^{1} x

Question

Evaluate the following. $\int_{-1}^{1} \frac{x+1}{(x^{2}+2x+2)^{3}} \mathrm{d}x$ $\int_{-1}^{1} x^{2} \sqrt{x^{3}+1} \mathrm{d}x$

Accepted Answer

(a) $\frac{6}{25}$ (b) $\frac{4 \sqrt{2}}{9}$

Techniques of Integration - Integration by the Reverse Chain Rule