Return to Assignments Integration by substitution

### Assignment 4

Solve:

### Solution

We use the transform:

and get:

or:

We are not ready yet. There are boundaries from to . These boundaries hold for the variable and thus they have to be transformed as well in . Thus the transformed boundaries are from to . As a result we get the following integral:

We can verify whether the primitive function is correct by differentiation. The chain rule has to be applied.

Return to Assignments Integration by substitution