Is it possible to find the antiderivative of ln(x)?

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i cant find the antiderivative of ln(x). I understand that the derivative of ln(x) is 1/x, but does anyone know what the antiderivative is?

2007-01-21 12:48:37 · 4 answers · asked by sirioshyguy 1 in Science & Mathematics ➔ Mathematics

srry, and i would like an explanation to how you got it

2007-01-21 12:54:44 · update #1

Use integration by parts.

∫u dv = uv - ∫v du

∫(ln x)dx

u = ln x
dv = dx

du = (1/x)dx
v = x

∫(ln x)dx = xln x - ∫x(1/x)dx = xln x - x + C

2007-01-21 12:55:12 · answer #1 · answered by Northstar 7 · 0⤊ 0⤋

the antiderivative is x*ln(x)-x

2007-01-21 12:53:54 · answer #2 · answered by Anonymous · 0⤊ 0⤋

â«ln x dx=x ln x - x

2007-01-21 12:57:07 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋

Use integration by parts.

2007-01-21 12:58:08 · answer #4 · answered by Phil 1 · 0⤊ 0⤋