Question

Calculate the area bounded by f(x)=3x, the x-axis and the vertical lines x=-1 and x=3. Sketch the region in the xy plane

Answer 1

The area under a curve like \(f(x)\) is found by taking an integral of that function. The bounds in this case are -1 to 3, so you can say:

\[A = \int_{-1}^3 f(x)dx = \int_{-1}^3 3xdx

Answer 2

Sorry, that's:

\[A = \int_{-1}^3 f(x)dx = \int_{-1}^3 3xdx\]