Question

Use a definite integral to find an expression that represents the area of the region between the given curve and the x-axis on the interval [0,b]. y=10x

Answer 1

Ok, what do you have so far?

Answer 2

I have no idea how to even start it.

Answer 3

Ok, well the area between the curve f(x) and the x axis on the interval from x = a to x = b is \[A = \int\limits_{a}^{b} f(x) dx\]

Answer 4

So do I somehow plug the y=10x into that equation? and I think the answer might be positive 10b

Answer 5

Yes, y = 10x is the same as f(x) = 10x

Answer 6

Ok thank you so much!

Answer 7

No problem. Let me know if you get stuck!