Q. 104.3( 6 Votes )

Evaluate the foll

Answer :

=


Adding the powers : -4 + -2 = -6


Since all are even nos, we will divide each by cos⁶x to convert into positive power


So, =


=



= { since sec2x = 1 + tan2x}


= ( apply (a + b)2 = a2 + b2 + 2ab )


Let tanx = t, so dt = d(tanx) = sec2xdx


So,


Put t and dx in the above equation,


=


=


=


=


=


=


= {1/tanx = cotx)


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