I need to find the integral from 0 to 1 of the function below. I have tried using integration by parts and then another integration by parts with a substitution, but I am unable to come up with the correct answer.
Sorry I cannot make it easier to read.
Substitution is often unpopular with students, because it's not an automatic process: you have to think about what substitution to make, and that's a skill that only comes with practice. But it's worth persevering with it, because it is definitely the most effective technique for the majority of integrals.