Question

what is the integral of 3x^3/x^3+5 using integration by substitution.i need the steps

Answer 1

you need to divide first

Answer 2

use the terms u=x^3 and so on

Answer 3

not unless it is \(3x^2\) on top. you have \(3x^3\)

Answer 4

i hope that is a typo because otherwise this integral is a big fat mess

Answer 5

am sorry its a typo

Answer 6

it should be 3x^2

Answer 7

whew
then it is easy
\[u=x^3+5, du =3x^2dx\]
\[\int \frac{du}{u}=\ln(u)=\ln(x^3+5)\]

Answer 8

thank you..i could get the answer by recognition nt by substitution thats why i asked