Integrate: 1 / (1+3sin^2x)

Answers (1)

Solution:  We have ,

                 I=int frac11+3sin^2xdx=int fracsec^2x1+3	an^2xdx

                Rightarrow   I=frac13int frac1frac13+t^2dt=frac13	an^-1(sqrt3t)+c=frac13	an^-1(sqrt3	an x)+c

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