Question

sec^2x dx/(secx+tanx)^2. integration from 0 to pi/2. Can someone please guide me to the answer

Answer 1

Is it:
\[\large \int\frac{sec^{2}xdx}{(secx+tanx)^{2}}\]?

Answer 2

@Mimi_x3 Couldn't understand you. What do you want to know?

Answer 3

Is that the integral? Just to make sure I don't want to do a integral which is not what you wrote.

Answer 4

yeah. that is the integral. Lower limit is 0 and upper limit is pi/2.

Answer 5

hm..would this work?
\[\int\limits\frac{\sec^{2}xdx}{(\sin^{2}x+2sinx+1)\sec^{2}x} => \int\limits\frac{dx}{\sin^{2}x+2sinx+1} \]

Answer 6

looks like a Weierstrass substitution
http://en.wikipedia.org/wiki/Weierstrass_substitution

Answer 7

then how to solve the equation in the denominator??

Answer 8

Please solve this: