Question

I'm doing my calculus homework via Webwork but some of my answers come out wrong while the bottom line is correct. Can someone help me?

Consider the area shown below. The top curve (in blue) is y=cuberoot(x) and the bottom curve (in red) is y=x^3, and we have used the notation Dy for delta y.

Write a Riemann sum for the area, using the strip shown: Riemann sum = ?. Now write an integral that gives this area ?. Finally calculate the exact area of the region using your integral area =?.

I got the integral of x^(1/3)-x^3 from 0 to 1 = 1/2. My bounds (0,1) are correct as well as the area=

Answer 1

but the functions are wrong. HELP!!!

Answer 2

What do you mean, do you have an answer sheet that has another answer?

Answer 3

Well webwork is website. My homework is web based. When I input my answer it tells me whether or not the answer is correct or incorrect when I submit my answer.

Answer 4

So you mean the integrals are wrong?

Answer 5

It's telling me that my integral is wrong and I don't know how to write the riemann sum.

Answer 6

I know it isn't much help, but all I know about riemann sums is that they were ways of estimating areas before the definite integral was discovered, I'm a calculus student myself so I don't know all that much about it. My best guess would be that if ou are getting the rgith answer, then the integral is correct, you just have to make the input in a way the system can recognize, like instead of cuberoot x, writing x^(1/3) or something... sorry can't help you

Answer 7

Its okay. and I've already tried writing it as x^(1/3) I think it has to deal with the delta y or dy but yeah... i guess i can ask my professor. the only thing that sucks is i probably won't get the points for it on my hw assignment.

Answer 8

If you have a reasonable teacher he'll probably give you the points if you give the answer to him on paper and say you couldn't figure out how exactly to punch it in