Question

Got another Area under the Curve Question(expect more tonight =P) Screenshot in comments.

Answer 1

Where do the curves intersect?

Answer 2

to do that I set 7x=4x^2? So 0 and 7/4?

Answer 3

how are you getting 7x? and 4x^2?

Answer 4

I see y = x^3, y = 25x

Answer 5

Oh no! I posted the wrong image

Answer 6

That is the correct one. I'm sorry.

Answer 7

ok, yes the solutions to 7x = 4x^2 are x = 0 or x = 7/4

Answer 8

so you will evaluate

\[\Large \int_{0}^{7/4} (f(x) - g(x))dx\]

where f(x) = 7x, g(x) = 4x^2

Answer 9

Sketch (area in green)

Answer 10

So I'll plug 7/4 in to both of those equations?

Answer 11

or do I take the antiderivative of 7x-4x^2 and then plug in?

Answer 12

I figured it out, got 343/96. Thanks!

Answer 13

you're welcome