# Tricky integral

## Homework Statement

How do I calculate ##\int_a^b x\left(\frac{b-x}{b-a}\right)^{n-1} \; dx##???

Samy_A
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## Homework Statement

How do I calculate ##\int_a^b x\left(\frac{b-x}{b-a}\right)^{n-1} \; dx##???

## The Attempt at a Solution

That substitution should work: show us what went wrong when you tried it.
A little hint: don't bother with the ##b-a## in the denominator, as that is a constant. Set ##u=b-x##.
EDIT: it doesn't really matter, both substitutions work just fine.

Last edited:
That substitution should work: show us what went wrong when you tried it.
A little hint: don't bother with the ##b-a## in the denominator, as that is a constant. Set ##u=b-x##.
EDIT: it doesn't really matter, both substitutions work just fine.
Thanks a lot. I got it.