Question

int x^3 dx / 2x-1

Answer 1

u-sub perhaps?

Answer 2

divide may be

Answer 3

x^2/2 + x/4 + 1/8
----------------
2x-1 | x^3
x^3 - x^2/2
-----------------
x^2/2
x^2/2 - x/4
--------------------
x/4
x/4 - 1/8
-------------
1/8

Answer 4

\(\large \int \frac{x^3 dx }{2x-1} = \int \frac{x^2}{2} + \frac{x}{4} + \frac{1}{8} + \frac{1}{8(2x-1)} dx\)

Answer 5

should be trivial to take integral now