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Integrate the following functions sqrt(sin2x) cos2x |
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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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