# Hint for an integral

## Homework Statement

∫(√(3 - x^2), x, 0, 3/2)

the integral of √(3 - x^2) with 0 extr inf and 3/2 extr sup

## The Attempt at a Solution

i have to use the subsitution rule, i thought x= (1/√3) sin t
any other hint?

thanx

AlephZero
Homework Helper
"i thought x= (1/√3) sin t"

Just thinking about it won't get you very far!

Try it. If it works, you are done. If it doesn't work, then think again.

Hi ddr,

The substitution should be x= √3 sin t instead. Then, dx = √3 cos t dt. Remember to change the limits for the trigo substitution. Use your trigo identities to evaluate the final integral.

Hope that helps.