Verify by differentiation that the formula is correct.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{1}{x^2\sqrt[\phantom{2}]{1+x^2}}dx=-\frac{\sqrt[\phantom{2}]{1+x^2}}{x}+C$

Evaluate ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(x^{1\mathrm{.}3}+7x^{2\mathrm{.}5})dx$

Evaluate ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(5+\frac{2}{3}{x}^2+\frac{3}{4}{x}^3)dx$