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could someone give me a pointer here.

this integral

∫ln(x + c)dx

my guess is, by integration by parts

(ab)' = a'b + ab'

∫ba = ab - ∫b'a

so here

a = ln(c + x) b = c + x

a' = 1/(c + x) b' = 1

ab = (c + x)*ln(c + x)

and

∫b'a = ∫ ((c + x)/(hc + x)) dx

= ∫dx = x

so ab - ∫b'a = (c + x)*ln(c + x) - x

would this be correct?

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# Exp. integral

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