Evaluate the integral ? int pi (cos (2pix))/(sin(2pix)) dx

1 Answer
Oct 2, 2017

int \ pi (cos (2pix))/(sin(2pix)) \ dx = 1/2 ln |sin2pix| + C

Explanation:

int \ pi (cos (2pix))/(sin(2pix)) \ dx = pi \ int \ cot (2pix) \ dx
" " = pi \ (ln |sin2pix|)/(2pi) + C
" " = 1/2 ln |sin2pix| + C