improper integral?

0 ⤊

evaluate integral (negative infinity to infinity) 2/(4+x^2)dx

2007-04-22 14:59:13 · 2 answers · asked by Rita Z 1 in Science & Mathematics ➔ Mathematics

2 answers

make the substitution x=2tan(theta). Once you do that, you will see that the antiderivative is arctan(x/2) evaluated at -oo and at oo. The answer should be pi/2 - (-pi/2) = pi

2007-04-22 15:23:49 · answer #1 · answered by dodgetruckguy75 7 · 0⤊ 0⤋

Check your standard forms.

2007-04-22 22:03:18 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋