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