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(2 cos x-3 sin x)/(6 cos x+4 sin x)...

`(2 cos x-3 sin x)/(6 cos x+4 sin x)`

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`int ( 2 cos x -3 sin x)/(6cos x +4 sin x) dx`
`underset(rArr (-3 sin x + 2 cos x) dx=dt)(" Let " 3 cos x+2 sin x=t) `
` =(1)/(2) int (2cos x -3 sin x)/( 3 cos x x+2 sin x)dx `
` =(1)/(2) int (1)/(t) dt`
`=(1)/(2) log |t|+c`
`=(1)/(2) log | 3 cos x+2 sin x| +c`
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