Evaluate the integral by interpreting it in terms of areas.

http://www.webassign.net/cgi-bin/symimage.cgi?expr=%20int_%28-6%29%5E0%20%285%2Bsqrt%2836-x%5E2%29%29dx%20

Question

Evaluate the integral by interpreting it in terms of areas.

http://www.webassign.net/cgi-bin/symimage.cgi?expr=%20int_%28-6%29%5E0%20%285%2Bsqrt%2836-x%5E2%29%29dx%20

anonymous · Answer

Maybe try a trig substitution?

anonymous · Answer

Hmm..do you have an answer by any chance?

anonymous · Answer

Yucky.
Calculator spat out an answer of
$$9\pi+30$$
If you tried to do this by hand, you'd have to do some icky inverse trig integrals and some stuff with uv substitution.

anonymous · Answer

no @jabberwork u cannot do uv in integration  put x = 6 cos teta  now do substitution method  take dx and  change into d teta   change limits it is over

anonymous · Answer

ur answer will be 58.274

anonymous · Answer

Ah, good call.

anonymous · Answer

Wow!  well done amingad!! :)  Thanks a lot you saved me there

anonymous · Answer

Thank you for attempting the problem, jabberwock.  :)