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int(3sinx +4 cosecx)^(2) dx...

`int(3sinx +4 cosecx)^(2) dx`

Text Solution

Verified by Experts

The correct Answer is:
`(57)/(2) x - 9/4sin 2x - 16 cot x + C`
`I = int (9sin^(2)x + 16cosec^(2)x + 24)dx`
`= int{9((1-cos2x)/(2)) + 16 cosec^(2)x + 24} dx`.
`= int(57/2- 9/2 cos 2x + 16 cosec^(2)x) dx`.
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