$\int\left(\frac{e^{8\cdot\sqrt{t}}}{\sqrt{t}}\right)dt$

$\int6\cosh^2\left(x-3\right)\sinh\left(x-3\right)dx$

$\int\frac{1}{\left(x+1\right)\left(x+4\right)}dx$

$\frac{du}{dx}=\frac{1}{\left(u-x\right)}$

$x^3-8x^2+16x-5$

$\frac{9\left(x-1\right)}{4}$