another one i'm stumped by

What is the area between the curves x = y and y = x^3 from -1 to y = 1
i got 0.75 for this one, am i correct

2 answers

Nope. The region is symmetric, so you can just double the area on the interval [0,1]

See
https://www.wolframalpha.com/input/?i=2(integral%5B0..1%5D++(x-x%5E3)dx)

So, what did you do?

PS The above integral gives the total geometric area. If you want the net algebraic area, where regions below the x-axis are subtracted, then the result is zero.
ohhh alright i think i understand, thank you