IIT JEE , AIEEE Forum - Mathematics , Integral Calculus

sweetgal17

integrate

1/cos2x(1-tanx)2

hey ... cos2x nai hai .. its cos square x and (1-tanx) ka bhi square... k !
pls help ..

q2 . e2x-1/e2x+1

its e to the power 2x !!

ankit7465

for Q 2 take e^x common from nu. and den.
and then it will be

e^x - e^-x / e^x +e^-x

and then take den. as t and integrate...

ans is log ( e^x + e^-x ) +c

ankit7465

for Q 1

take tanx = t
sec^2 x dx = dt
put the values in the question and then integrate.....

piit.jak

solution to question two.

take e2x as t in both the integrals

first integral becomes 2 dt\ (t+1) = 2ln(e2x+1).

the second becomes dt \ 2 * t * (t+1).

split into partial fractions and integrate.