8. Definite Integrals

Evaluate the definite integral.

$\int_0^1\frac{t}{\sqrt{t^2+1}}dt$

Evaluate the definite integral.

$\int_1^2\left(x-3\right)\left(x^2-6x\right)^2dx$

Evaluate the definite integral.

${\int }_0^{\ln 2}\frac{e^{5y}}{3+e^{5y}}dy$