How do you integrate problems in calculus by substitution?

Answer 1

You would use something called u substitution

for example if you are integrating a problem like

4x(2x^(2)) dx

your u would equal 2x^(2)

then you would take the derivative of your u, which would make it 4x

By doing this the 4x disappears in the problem and you can integrate

you would keep the 2x^(2) in u form and integrate the u as if it was an x

which would give you (u)^(2)/2

then just plug back the 2x^(2) into u.