Evaluate the following integrals:
=
Adding the powers , -3 + -1 = -4
Since it is an even number, we will divide numerator and denominator by cosx
=
= =
= ∫
Let tan x = t, then dt = d(tanx) = sec2xdx
Put these values in the above equation:
= ( since ∫xⁿ dx =
+ c
and ∫t⁻1 dt = logt)
=
=