I have to find the anti derivative of x(x^2+2)^2
This is what I did:
f ' (x) = ( x^2 + 2)^2
= X (X^4 + 4x^2 + 4)
F(x) = (1/2x^2) (1/5x^5 + 4/3x^3 + C)
The book did not show any examples of problems like this and I was not sure if there was a product rule that I needed or if the Chain Rule came into play somehow.
This is probably a silly question, but will your answer give the same as mine which is 1/6x^6+x^4+2x^2 + C
The reason I ask this question is because I believe (i am not 100% sure) that your answer would give a number. what i mean by this is that when you expand your cube, wont a factor of 2 be in the answer.
I know i didnt do the best job of explaining what I mean.
Also, could you tell me the formula for expanding a cube.