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Evaluate: int1/(4cos^2x+9sin^2x)\ dx...

Evaluate: `int1/(4cos^2x+9sin^2x)\ dx`

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`int1/(4cos^2x+9sin^2x)\ dx`
On dividing the numerator and denominator of the equation by integrating `cos^2 x`
`=int(sec^2 x)/(4+9tan^2x)\ dx`
`=x=t` and `sec^2xdx=dt`
`=int frac{dt}{4+9t^2}`
`=1/0 int frac{dt}{4/9+t^2}`
`=1/9 xx 1/(2/3)tan^(-1) x/a+C` ...
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