Question

what did I do wrong? @solomonzelman

Answer 1

you set your integral incorrectly, as I see.

Answer 2

You have \(\sqrt{|x|}\), not just x.

Answer 3

oh, oops. how could I have missed the sqrt?

Answer 4

yes, but if you say, using the fact that your region is symmetric,

\(\color{#000000}{ \displaystyle 2\int_{0}^{1}\left(\sqrt{x} -x^4\right)dx }\)

then that is correct, because you don't need |x| since x\(\ge\)0 anyway.

Answer 5

so just a square root, but for other than this you have done really well. Nice use of symmetry for simplifying the integral to avoid absolute values!

Answer 6

Okay, I tried that and got 17/15, which isn't an answer choice, did I subtract the wrong one?

Answer 7

this is not 17/15, I get a different result.

Answer 8

oops, nvm, figure out my problem

Answer 9

2/5

Answer 10

I didn't multiply the 1/5 by2

Answer 11

yes, glad you got it.

Answer 12

so you actually get ?

Answer 13

14/15

Thx again!

Answer 14

Yes, that is correct! You welcome))