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Evaluate int_-1^1 sin^5x cos^4x dx |
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Answer» Solution :Let I = `int_-1^1 sin^5x cos^4x dx` Let f(x) = `sin^5x cox^4x`. Then `f(-x) = sin^5(-x) cos^4(-x)` =`-sin^5x cos^4x = -f(x)` i.e., f is an ODD FUNCTION. THEREFORE, by PROPERTY 8(II), I = 0. |
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