Question

area by double integration is Defined by​

Answer 1

Step-by-step explanation:

Definition of Double Integral

If the definite integral b∫af(x)dx of a function of one variable f(x)≥0 is the area under the curve f(x) from x=a to x=b, then the double integral is equal to the volume under the surface z=f(x,y) and above the xy-plane in the region of integration R

This gives us another way of finding area. Remark: If the region if bounded on the left by x = h1(y) and the right by h2(y) with c < y < d, then the double integral of 1 dxdy can also be used to find the area. Set up the double integral that gives the area between y = x2 and y = x3.

Answer 2

Step-by-step explanation:

If the definite integral b∫af(x)dx of a function of one variable f(x)≥0 is the area under the curve f(x) from x=a to x=b, then the double integral is equal to the volume under the surface z=f(x,y) and above the xy-plane in the region of integration R