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Evaluate : ∫logx dx. |
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Answer» = ∫logx dx = ∫logx.1 dx = ∫uv dx = u∫v dx – ∫[d/dx x∫vdx] dx Iogx ∫1. dx ∫[d/dx(logx)x∫1.dx] dx = 1ogx(x)∫(1/x xx) dx = xlogx - ∫1. dx I = x logx – x + c |
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