Question

What is the antiderivative of this function
f(x) = (x + 1)(2x-1)

More generally how do you take the anti-derivative of a product of two functions

Answer 1

and why can't you expand an antiderivative such as (x-1)^(2)

Answer 2

I just expanded it and I got the same answer as reported by wolfram alpha (2x^(3)/3) + (x^(2)/2) - x

Answer 3

whats the question then?if expanding helps you integrate a function then do it

Answer 4

Sorry if my question is unclear what makes (x-1)^(2) different from (x + 1)(2x-1)

Answer 5

expand (x-1)^2 then integrate it and you'll get the same result

Answer 6

As If I were to integrate (x-1)^(2) I would have to convert

x-1 = t
take the derivative on both sides in respect to x

Answer 7

blah never mind :L I will just review my notes