8. Definite Integrals

Evaluate the indefinite integral.

$\int_{}^{}3t\sqrt{t^2+7}dt$

Evaluate the indefinite integral.

$\int_{}^{}\frac{1}{\left(3x+2\right)^5}dx$

Evaluate the indefinite integral.

${\int }_{}^{}\frac{1}{2x+5}dx$

Evaluate the indefinite integral.

$\int_{}^{}x\left(5+x\right)^{79}dx$

Evaluate the indefinite integral.

$\int_{}^{}\frac{t}{\sqrt{t-2}}dt$

Evaluate the indefinite integral.

$\int_{}^{}\frac{x}{\left(x-6\right)^5}dx$