सिद्ध कीजिए कि int(a)^(b)f(a+b-x)dx=int(...

सिद्ध कीजिए कि `int_(a)^(b)f(a+b-x)dx=int_(a)^(b)f(x)dx` उक्त का प्रयोग कर अथवा अन्य विधि से सिद्ध कीजिए कि
`int_(pi/6)^(pi/3)(sin^(4)x)/(sin^(4)x+cos^(4)x)dx=(pi)/(12)`

लिखित उत्तर

Verified by Experts

The correct Answer is:

`(pi)/(12)`

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