MATH10560 Midterm: Math10560SolutionsPE2

Evaluate the improper integral or state that it is divergent. co dt 16 12-3t 17) dx 8x(x+ 1)2

16) In 4 3 17) 0.072

Using polar coordinates, evaluate the improper integral R2 e-2(x2+y2) dx dy. Use part A to evaluate the improper integral infinity -infinity e-2x2 dx.

(4) Evaluate the improper integral integrate 1/(x-2)^2/3 dx. (Be sure to use correct notation!)