Find the integral $\int e^{\left(az+b\left(-z+t\right)\right)}dz$

Find the integral

$\int\left(\frac{arctan\left(2x\right)}{x}\right)dx$

Find the integral

$\int10^{2x}dx$

Find the integral

$\int e^x\sqrt{5+e^x}dx$

Find the integral

$\int\frac{1}{e^{2x}-3e^x}dx$

Find the integral

$\int\frac{1}{1+e^{-2x}}dx$

Find the integral

$\int x^2e^{2x+1}dx$

Find the integral

$\int x\left(x^2-3\right)dx$