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Integration of sin^2 x dx

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Integration of sin^2 x dx

    • Posted by Sakshi Rajani 7 years, 6 months ago

    CBSE > Class 11 > Physics
    • 1 answers

    Madhav Garg 7 years, 6 months ago

    Knowing that cos(2x)=1-2sin^2(x), the sin^2(x)=(1/2)(1-cos(2x)). Therefore the integral equals the integral of (1/2)(1-cos(2x)). We know the integral of cos(2x) dx is (1/2)*(sin(2x)). Thus the integral of sin^2(x)dx equals (x-(1/2)*sin(2x))/2.

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