8. Definite Integrals

Evaluate the following integral:

$\(\int\)_0^3\!4\,dx$

Evaluate the following integral:

$\(\int\)_0^1\!\(\left\)(2x^3-x^2+4x\(\right\))\,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:

$\(\int\)_2^3\!x^{\(\frac\)52}\,dx$

Evaluate the following integral:

$\(\int\)_1^2\!\(\frac{5}{x^2}\)\,dx$

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$