`int1/(a^2cos^2 x+ b^2sin^2x)` dx

1.	`int1/(a^2cos^2 x+ b^2sin^2x)` dx
Answer» Correct Answer - `(1)/(ab)tan^(-1)((b)/(a)tanx)+C` Divide num and denom by `cos^(2)x` and put and x =t.

Discussion

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Evaluate: `int1/(a^2sin^2x+b^2cos^2x) dx`