## hipster 4 years ago 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

1. nkbxwb

Maybe try a trig substitution?

2. hipster

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

3. jabberwock

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.

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

6. jabberwock

Ah, good call.

7. hipster

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

8. hipster

Thank you for attempting the problem, jabberwock. :)