8. Definite Integrals

Evaluate the following integral:

$\int_0^3\!4\,dx$

Given the definite integral $F\left(x\right)=\int_{12}^{20x}\!\left(h^4+\frac{63h}{\sqrt{h^5}}\right)\,dh$, find the derivative $F^{\prime}\left(x\right)$.

Evaluate the following integral:

$\int_1^4\!\left(2x+1\right)\,dx$

Evaluate the following integral:

$\int_{-1}^2\!\left(x^2-3x+2\right)\,dx$

Evaluate the following integral:

$\int_0^1\!\left(2x^3-x^2+4x\right)\,dx$

Evaluate the following integral:

$\int_2^3\!x^{\frac52}\,dx$

Evaluate the following integral:

$\int_1^2\!\frac{5}{x^2}\,dx$