`int (dx)/((cos ^(2)x-3sin^(2)x))=?`

1.	`int (dx)/((cos ^(2)x-3sin^(2)x))=?`
Answer» Correct Answer - `(1)/(2sqrt(3))log\|(1+sqrt(3)tanx)/(1-sqrt(3)tanx)\|+C` Divide num and denom by `cos^(2)x` and put and x =t.

Discussion

`int (dx)/((4sin^(2)x+5cos^(2)x))=?`
Evaluate `int(sqrt(tanx)+sqrt(cotx))dx`.
Evaluate `intsqrt(cotx)dx`.
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`int(dx)/((1+cos^(2)x))`
`int(dx)/((2+sin^(2)x))`
`int (dx)/((cos ^(2)x-3sin^(2)x))=?`
Evaluate `int(x)/((x^(4)-x^(2)+1))dx`.
Evaluate `int((2x+1))/((4-3x-x^(2)))dx`.
Evaluate: `int1/(a^2sin^2x+b^2cos^2x) dx`