Evaluate the integrals in Exercises 9–28. It may be necessary to use a substitution first.
∫ [(4x) / (x³ + 4x)] dx

Use any method to evaluate the integrals in Exercises 15–38. Most will require trigonometric substitutions, but some can be evaluated by other methods.

∫ dx / (1 + x²)

Evaluate the integrals in Exercises 33–36.

∫ [1 / √(9 - x²)] dx

Evaluate the integrals in Exercises 69–134. The integrals are listed in random order so you need to decide which integration technique to use.

∫ t dt / √(9 − 4t²)

Evaluate the integrals in Exercises 77–90.

77. ∫dx/√(-x²+4x-3)

Find the following indefinite integral.

$\(\int\)-300dx$

Find the following indefinite integral.

$\(\int\)4x^3dx$

Find the following indefinite integral.

$\int 100x^{99}dx$

Find $h\left(x\right)$ by evaluating the following indefinite integral.

$h\left(x\right)=\int x^{8}dx$