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 ∫t1 dt = logt)


=


=


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