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" 7."cos^(5)x" ."...

" 7."cos^(5)x" ."

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Evaluate int_(0)^(pi) sin^(7) x. cos^(5) x dx

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int_(0)^(2pi) cos^(7) x sin^(5) x dx=

(sin 7x - sin 5x)/(cos 7x + cos 5x) = tan x