Integral Homework: √(3 - x^2) 0 to 3/2

[ddr]

Homework Statement

∫(√(3 - x^2), x, 0, 3/2)

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

Homework Equations

The Attempt at a Solution

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

thanx

 

[AlephZero]

"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.

 

[NTUENG]

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.