Integation practice I

Here are some integrals and antiderivatives to practice with,  involving powers of sin and cos,  substitution,  
        and integration by parts.

Compute the antiderivative.

∫Sin[x]^3 \[DifferentialD]x

Compute the antiderivative.

∫Sin[x]^3 Cos[x] \[DifferentialD]x

Compute the antiderivative.

∫x Sin[x] \[DifferentialD]x

Compute the antiderivative.

∫(x^2) (E^x) \[DifferentialD]x

Compute the antiderivative.

∫Sec[x]^2 \[DifferentialD]x

Compute the antiderivative.

∫Sin[2 x]^2 \[DifferentialD]x

Compute the antiderivative.

∫Tan[3  x] \[DifferentialD]x

Compute the antiderivative.

∫Sin[θ]^3 Cos[θ]^2 \[DifferentialD]θ

Compute the antiderivative.

\(∫\(Sin[x]\^3\/\@Cos[x]\) \[DifferentialD]x\)

Compute the antiderivative.

∫Tan[x]^3 \[DifferentialD]x

Compute the antiderivative.

∫(x^2) (Sqrt[2 (x^3) - 4]) \[DifferentialD]x

Compute the antiderivative.

∫((3 x)/(Sqrt[1 - (x^2)])) \[DifferentialD]x

Compute the antiderivative.

∫Sin[2 x]^3 Cos[2 x] \[DifferentialD]x

Compute the antiderivative.

∫x (E^(2 x)) \[DifferentialD]x

Compute the antiderivative.

∫(x^2) Sin[x] \[DifferentialD]x

Compute the antiderivative.

∫(x^3) Log[x] \[DifferentialD]x

Compute the antiderivative.

∫Log[x] \[DifferentialD]x

Compute the antiderivative.

∫Log[x]^2 \[DifferentialD]x