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.

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