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

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

anonymous · Answer

Ok, what do you have so far?

anonymous · Answer

I have no idea how to even start it.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Ok thank  you so much!

anonymous · Answer

No problem. Let me know if you get stuck!