What is #int sin x/ ( 1-sin^2x)dx#?

1 Answer
Oct 28, 2015

#1-sin^2x = cos^2x# and #d/dx(cosx) = -sinx#

Explanation:

Rewrite as

#int sin x/ ( 1-sin^2x)dx = int sinx/cos^2x dx#

Now use substitution with #u = cosx#.

Or use the fact that #sinx/cos^2x = secx tanx = d/dx(secx)#