Evaluate the integral by interpreting it in terms of areas 0 to -4 (3+sqrt 16-x^2)dx

Step-by-step explanation:

we are given

Firstly, we will draw graph

We can see that from -4 to 0

we have two shapes

a rectangle and a quarter of circle

so, we can find areas and then we can combine them

now, we can simplify it

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

step-by-step explanation: