Integral Sin 2 X. integral of sin^2 (x) \square! \square! Get stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!.
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Find the integral of sin^2(X) MyTutor
sin 2 (X) = 1/2(1 cos(2X)) You can now rewrite the integration ∫sin 2 (X)dX = ∫1/2(1 cos(2X))dX Because 1/2 is a constant we can remove it from the integration to make the calculation simpler We are now integrating 1/2 x ∫(1 cos(2X)) dX = 1/2 x (X 1/2sin(2X)) + C It is very important that as this is not a definite integral we must add the constant C at the end of the integration.
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Integral of sin^2(x) Jakub Marian
The integral can be calculated using integration by parts (using the formula ∫u’ (x)v (x)\dx = u (x)v (x) ∫ u (x)v’ (x)\dx ) Let’s write \sin^2 (x) as \sin (x)\sin (x) and apply this formula If we apply integration by parts to the rightmost expression again we will get ∫\sin^2 (x)dx = ∫\sin^2 (x)dx which is not very useful The trick is to rewrite the \cos^2 (x) in the second step as 1\sin^2 (x).