- #1

squenshl

- 479

- 4

## Homework Statement

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

## Homework Equations

## The Attempt at a Solution

I tried the substitution ##u = \frac{b-x}{b-a}## to no avail. Someone please help.

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- Thread starter squenshl
- Start date

- #1

squenshl

- 479

- 4

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

I tried the substitution ##u = \frac{b-x}{b-a}## to no avail. Someone please help.

- #2

Samy_A

Science Advisor

Homework Helper

- 1,242

- 510

That substitution should work: show us what went wrong when you tried it.## Homework Statement

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

## Homework Equations

## The Attempt at a Solution

I tried the substitution ##u = \frac{b-x}{b-a}## to no avail. Someone please help.

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:

- #3

squenshl

- 479

- 4

Thanks a lot. I got it.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.

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