1.

Integrate the following functions sqrt(sin2x) cos2x

Answer»

Solution :LET sin2x = t
Then `dt = COS2X XX 2 dx`
`GT cos2x dx = 1/2 dt`
therefore` int SQRT(sin2x) cos2x dx = int sqrtt 1/2 dt`
`1/2 xx t^(1/2+1)/(1/2+1) +c`
`1/3t^(3/2) +c = 1/3 (sin2x)^(3/2) +c`


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