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please some one tell me how
integral ∫1/(4 + 5 ( cos x )^2 ) dx= (1/6)tan-¹[(2tanx)/3] + c
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Well, since you are given the answer, why not work backwards from the answer and see if we get somewhere?
I differentiated the answer for some ideas and this is what I came up with.
Now use the subsitution u = (2⁄3)tanx. This will transform the integral to
which is
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