1.

`sin2x . sqrt(a^(2) - cos^(2)x)` का समाकलन कीजिये।

Answer» Correct Answer - `(2)/(3)(a^(2) - cos^(2)x)^(3//2)`
`I = intsin 2xsqrt(a^(2) - cos^(2)x).dx`
` = intsqrt((a^(2) - cos^(2)x)). sin2x dx`
`a^(2) - cos^(2) x = t^(2)` रखने पर
`rArr " "sin2x dx = 2tdt`
तब `I = intsqrt(t^(2)).2tdt`


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