Question

Find the area contained by the curve y =3x2
from x = 1 to x = 3.
b​

Answer 1

Answer:

Step-by-step explanation:The Area Under a Curve

To find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive.

How do you find the area between curves in calculus?

A=∫ba[f(x)−g(x)]dx. We apply this theorem in the following example. If R is the region bounded above by the graph of the function f(x)=x+4 and below by the graph of the function g(x)=3−x2 over the interval [1,4], find the area of region R.