1.

`int(sinx)/(sin(x-alpha))dx = sinalpha log sin (x-alpha)+(x-alpha)cos alpha + c` सिद्ध कीजिये -

Answer» बाया पक्ष `=int(sin(tan^(-1)x))/(1+x^(2))dx` माना `tan^(-1)x = t`
`rArr " "(1)/(1+x^(2))dx = dt`
`therefore int(sin(tan^(-1)x))/(1+x^(2))dx = int sin t dt =- cos t + c = - cos (tan^(-1)x)+c =` दाया पक्ष


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