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Evaluate: ∫sinx. sin(cosx)dx |
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Answer» ∫sinx. sin(cosx).dx Take cos x = t Diff w.r.t x, we have -sinx = dt/dx -sin x.dx = dt sin x.dx = -dt ⇒ ∫sin(cosx).sinx.dx = ∫sin(t)λ - dt = - ∫ sin t.dt = -x – cos t. + c =cost + c = cos(cosx) + c |
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