Get integration of sin x sin 2x sin 3x. Or for those who know Eulers formulas use 2i sin x exp ix - exp -ix 2i sin 2x exp 2ix - exp -2ix multiply out and integrate the exponentials. We then rewrite the integration problem in terms of u by substituting out the dx and 3x. 2 sin 1 2 cos. Check also: integration and integration of sin x sin 2x sin 3x 25The value of the integral e sin2x cosx cos 3 xsinxdx is A 12e sin2x 3 - sin 2 x c B e sin2x 1 12cos 2 x c C e sin2x 3cos 2 x 2sin 2 x c D e sin2x 2cos 2 x 3sin 2 x.
Using the formula sin3x3sin x-4sin3x expand the integral and write it in the format of 31-cos2xsin x-41-cos2x2sin x Then putting cos x. Cos x - cos 3x 2 sin 53xx sin 53x-x 2 sin 2x sin x and the integral of the LHS is easy.
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Cosxsin2x 2 d dx 1 3cos3x dx.
Int sin2xsinx x. La Data di pubblicazione del video. Where C is a constant of integration. 2 2 cos. If u e2x and dv sin3xdx then du 2e2xdx and v 1 3cos3x. 1 3e2x cos3x 1 3 2e2x cos3xdx.
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On Math Videos We then rearrange the previous expression for dx.
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| Content: Explanation |
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Terest 2 I sin 2 sin 2 I sin.
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