U-Substitution

U-Substitution, also known as Integration by Substitution, is a method for finding integrals. U-substitution is one of the simplest integration techniques that can be used to make integration easier.  Click on the blue links below to see a video of each example listed.

Examples:
x* e^(x^2)

x^2/(x^3+1)^2

5x*e^(3x^2)

x*e^(3*x^2)

5*x*sin(3*x^2)

2*x*√(x^2+9)

6*x^2/(x^3+1)^5

This one is about a Definite Integral, where when you actually compute the Integral over a range with a lower limit and a upper limit.  So anytime you have a problem like this, this is how you can use my programs.

Solving a U-Substitution problem with an Integration of 1, 2*(2*x+1)^4

Solving a U-Substitution problem with an Integration of 2, (x*3)/(x^2+6*x-5)^2