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

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SUMMARY

The integral of √(3 - x^2) from 0 to 3/2 can be solved using trigonometric substitution. The correct substitution is x = √3 sin(t), which leads to dx = √3 cos(t) dt. It is essential to adjust the limits of integration accordingly when applying this substitution. Utilizing trigonometric identities will facilitate the evaluation of the final integral.

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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
 
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"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.
 

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