Evaluate The Integral.50 (sin(x))^6 (cos(x))^3 Dx

Anonymous

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Evaluate the integral. 50 (sin(x))^6 (cos(x))^3 dx

 

Answer No.1

FrenchRoger99

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I = 50 (sin(x))^6 (cos(x))^3 dx Let u = sin(x) -> du = cos(x)dx -> (cos(x))^2 = 1 - (sin(x))^2 = 1 - u^2 => I = [50 u^6 (1 - u^2)] du = [50u^6 - 50u^8]du = (50/7)u^7 - (50/9)u^9 + C I = (50/7)(sin(x))^7 - (50/9)(sin(x))^9 + C

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