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)

=

=