Question

how to integrate square root of x - x cube dx with a limit from 0 to 1?

Answer 1

If the problem is:
\[\int\limits_{0}^{1} x ^{2}-x^{3} dx\]
Your thought process should be what should I derivate to get x^2 and -x^3?
When you have figured that out, you take the result and plug in x=1, which will give you a value. Then take x=0 and plug that in, which will also give you a value. take the x=1 value and subtract the x=0 value. There's your answer. Main thougt process here however is to solve the integration step, "what should I derive to get this?".

Answer 2

thank nytie :)

Answer 3

Np :)

Answer 4

\[\sqrt{x}\]
Not x^2, I blame tiredness, doing my own studying :P
Same process applies however, did you solve it?

Answer 5

integrate sqrt(x) and x^3 seperately.