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Evaluate:f asin sin becos 2xdxOR |
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Answer» ∫sin(2x) / (a^2Cos^2(x) + b^2sin^2(x)) dx=1/2 ∫ 1/(a^2Cos^2(x) + b^2sin^2(x)) d(sin^2 x)=1/2 ∫ 1/(a^2(1-sin^2(x)) + b^2sin^2(x)) d(sin^2 x)=1/(2(b^2-a^2)) ∫ 1/(a^2 + (b^2-a^2)sin^2(x)) d(a^2+(b^2-a^2)sin^2 x)=1/(2(b^2-a^2)) ln|a^2+(b^2-a^2)sin^2 x|+C thnxx |
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