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

Question

mimi_x3 · Answer

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

anonymous · Answer

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

mimi_x3 · Answer

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

anonymous · Answer

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

mimi_x3 · Answer

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

mimi_x3 · Answer

anonymous · Answer

then how to solve the equation in the denominator??

anonymous · Answer

Please solve this:|dw:1342104598564:dw|