calculus
posted by Anonymous .
1. integral oo, oo [(2x)/(x^2+1)^2] dx
2. integral 0, pi/2 cot(theta) d(theta)
(a) state why the integral is improper or involves improper integral
(b) determine whether the integral converges or diverges
converges?
(c) evaluate the integral if it converges
CONFUSE: how would I know the integral converges or diverges without
evaluating the integral? I am not sure if I evaluated the integral correctly.
(a) infinite limit of integration
(b) diverges?
lim 1/(x^2+1) oo, b = oo?
b>oo
(a) integrand has an infinity discontinuity at x=0
(b) diverges?
lim cos(theta)/sin(theta) d(theta)
b>oo
= lim ln(sin(theta)) d(theta) b, pi/2
b>oo
=oo?
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