[1.6]Indefinite Integral
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xlog(x+1) dx = ln(x+1) x dx - x2/2 . 1/(x+1) dx [ integrating by parts ]= x2 / [2.ln(x+1) ] - 1/2 [ (x2+x - (x+1) + 1] / (x+1) dx= x2 / [2.ln(x+1) ] - 1/2 x dx + 1/2 dx - 1/(x+1) dx=x2 / [2.ln(x+1) ] - x2 / 4 + x/2 - ln (x+1) + C Cheers !! |
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You never know what is enough till you know what is more than enough. Titun |
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