1.

Evaluateint[cos^-1((1-tan^2x)/(1+tan^2x))+sin^-1((2tanx)/(1+tan^2x))]dx.

Answer»

SOLUTION :`INT[cos^-1((1-tan^2x)/(1+tan^2x))+sin^-1((2tanx)/(1+tan^2x))]dx.=int[cos^-1cos2x+sin^-1sin2x]2x=int(2x+2x)dx=int4xdx=4x^2/2+C=2x^2+C`


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