help Please!!!?

Question

Evaluate the integral by interpreting it in terms of areas.

Int_(-5)^(4) (2-4x) dx

Answer 1

Well, unless you made a typo and -5 and 4 are meant to be the limits of integration, I'd start by just factor out (-5)^4 = 3125.

Anyhow, if the graph of a function is a line, and you're integrating over an interval that includes its x-intercept, then the picture is just two right triangles. The integral is the area of the one that's above the x-axis minus the area of the one that's below the x-axis.