Question

solve int_sec^2x dx /(1 + tan x )( 2+ tan x )

Answer 1

Answer:

Explanation:

This is a u-subsitution problem. Our goal is to cancel out the numerator. Let u=1+tanx. Then du=sec2xdx and dx=dusec2x

=∫sec2xu⋅dusec2x

=∫(1u)du

This can be integrated as ∫(1x)dx=ln|x|+C.

=ln|u|+C

=ln|1+tanx|+C, where C is a constant

Hopefully this helps!