$\text{Evaluate }\int{\sqrt{{{x}^{3}}}}dx$

$\text{Evaluate }\int{\frac{1}{4+{{x}^{2}}}dx}$

$\text{Evaluate }\int{{{x}^{-1}}dx}$

$\text{Evaluate }\int{\frac{dx}{{{x}^{2}}-2x+5}}$

$\int{{{x}^{2}}dx}$

$\text{Evaluate }\int\limits_{1}^{4}{\sqrt{(x+5)}dx}$

$\text{Evaluate }\int\limits_{-1}^{1}{\frac{{{x}^{2}}+2x}{{{x}^{2}}+2x+2}dx}$

$\text{Evaluate}\int{\sin x\cos xdx}$

$\text{Evaluate }\int\limits_{0}^{\tfrac{3}{2}}{\frac{dx}{{{x}^{2}}+9}}$

$\text{Evaluate }\int{\frac{tdt}{1+4{{t}^{2}}}}$

$\int\limits_{{{e}^{4}}}^{{{e}^{2}}}{\frac{1}{x}\sin (\log x)dx}$

$\text{Evaluate }\int{\sin 7x\sin 5xdx}$

$\text{Evaluate }\int{x{{e}^{-x}}dx}$

$\int{{{\theta }^{2}}\cos 2\theta d\theta }$

$\int{{{e}^{ax}}\cos bxdx}\text{ where }a\text{ and }b\text{ are constants using integration by part}\text{.}$

$\int_{0}^{1}{\frac{du}{\sqrt{3-2u}}}$

$\int{\frac{dx}{({{x}^{2}}+4)({{x}^{2}}+8)}}$

$\text{Evaluate}\int{\frac{(6{{x}^{2}}+5x+2)dx}{{{(2x+1)}^{2}}(x-1)}}$

$\int{\frac{1}{x}{{({{\log }_{e}}x)}^{3}}dx}$