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Question

Evaluate: sin2xsin5xsin3xdx

A
13ln|sin3x|15ln|sin5x|+C
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B
13ln|sin3x|15ln|sin5x|+C
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C
13ln|sin3x|+15ln|sin5x|+C
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D
13ln|sin3x|+15ln|sin5x|+C
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Solution

The correct option is A 13ln|sin3x|15ln|sin5x|+C

I=(sin(5x3x)sin5xsin3x)dx


I=(sin5xcos3xcos5xsin3xsin5xsin3x)dx


I=(cos3xsin3x)dx(cos5xsin5x)dx


I=(13)log|sin3x|(15)log|sin5x|+c


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