Hint for an integral

  • Thread starter ddr
  • Start date
  • #1
ddr
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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
 

Answers and Replies

  • #2
AlephZero
Science Advisor
Homework Helper
6,994
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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.
 
  • #3
20
0
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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