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प्रश्न
Integrate the following w.r.t.x : `(1)/(xsin^2(logx)`
उत्तर
Let I = `int (1)/(xsin^2(logx))*dx`
Put log x = t
∴ `(1)/x*dx` = dt
∴ I = `int (1)/sin^2t*dt`
= `int "cosec"^2tdt`
= – cot t + c
= – cot (log x) + c.
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