Evaluate: `int1/(cosx(5-4sinx)\ dx`

Explanation

`I=int frac{d x}{cos x(5-4 sin x)} `

`=int frac{cos x d x}{cos ^{2} x(5-4 sin x)} `

`=int frac{cos x d x}{(1-sin ^{2} x)(5-4 sin x)} `

`=int frac{cos x d x}{(1-sin x)(1+sin x)(5-4 sin x)}`

Putting `sin x=t`



`Rightarrow cos x d x=d t `

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