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Mathematics 10 Online
OpenStudy (anonymous):

integrate ln(x+1)

OpenStudy (harsimran_hs4):

you can use integration by parts

OpenStudy (harsimran_hs4):

integral = xln(x+1) - integral [ (x) 1/(x+1)] dx

OpenStudy (anonymous):

I don't get how you got that. Like I figured it would be lnx+ln1 :\

OpenStudy (harsimran_hs4):

i have two function 1* ln(1+x) http://en.wikipedia.org/wiki/Integration_by_parts

OpenStudy (harsimran_hs4):

one function is 1 and another is ln(1+x)

OpenStudy (anonymous):

so you are using the formula uv-integral(udu) but I don't understand how you got 1

OpenStudy (harsimran_hs4):

for integration by parts i need two functions ln(1+x) as such is one function so i did 1*ln(1+x) (because multiplication by one doesn`t alter the integral) so 1st function is 1 and second ln(1+x) and then apply integral by parts

OpenStudy (anonymous):

well I got for my answer is xln(1+x)-(-ln(x-1)-x) does that look right?

OpenStudy (harsimran_hs4):

you got it right just a little mistake xln(1+x) - (-ln(x-1) + x)

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