1.

dxQ. 13. (A) Evaluate-1- cos x

Answer»

Explanation:

∫1/1+cosxdx=∫1−cosx(1+cosx)(1−cosx)dx

=∫1−cosx1−cos2xdx

=∫1−cosxsin2xdx

=∫1sin2xdx−∫cosxsin2xdx

=∫csc2xdx−∫cotxcscxdx

=−cotx+cscx+C



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