Question Type 3: Solving simple integrals with integration by parts Exercises

Find the integral

$\int \ln^2 x \, dx$

Compute the integral

$\int x e^{3x} \,dx$

Evaluate the integral

$\int \ln(x+1)\,dx$

Find the integral:

$\int x^2 e^{3x}\,dx$

Evaluate the integral

$\int x\cos x\,dx$

Evaluate the integral

$\int \ln(4x)\,dx$

Compute the integral

$\int x e^x\,dx$

Compute the integral

$\int \arctan x\,dx$

Evaluate the integral

$\int x^2 \ln x\,dx$

Find the integral

$\int x^3 e^{5x}\,dx$

Find the integral

$\int x\ln(2x)\,dx$

Find the integral

$\int e^{2x}\sin(3x)\,dx$