And integrate.
∫^ u
(^6) du = + C
Substituting back gives you
Confirm that this is the integral by differentiating
Example 2: (^) ∫ 2 x dx =
If u = x^2 − 5, then = 2x and du = 2x dx. Substitute u into the integrand.
∫^ u^ du
Integrate.
And substitute back.
Note: From now on, we’re not going to rearrange ; we’ll go directly to “du =” format. You should be