Question

integrate x^3.logx

Answer 1

limits?

Answer 2

hw do u decide the functions f and g

Answer 3

no it is indefinite integral

Answer 4

i have been told a order for that

Answer 5

guess what? parts again

Answer 6

ya......u gotta explain me d best fit technique

Answer 7

well this time it will be easier to find the anti derivative of
\[x^3\] then to keep integrating
\[\ln(x)\]so i would make
\[u=\ln(x), du =\frac{1}{x}dx, dv = x^4, v=\frac{x^4}{4}\] and it should work out nicelyi

Answer 8

notice that in the first step the log is gone, and you can simplify the second integral easily because you will end up with
\[-\frac{1}{4}\int \frac{x^4}{x}dx=-\frac{1}{4}\int x^3dx\] so you will be done after one step

Answer 9

got it ..this needs practice i guess

Answer 10

that is the only way you will know what to pick. on the other hand, if you picked
\[dv=\ln(x)\] then you would have
\[v=x\ln(x)-x\] and you see that your second integral would be a real pain

Answer 11

ya tryed it that way it was hard