Question

Find the area of the shaded region.

Answer 1

Total Area= (Area of the parabola over x-axis from x=0 to x=4) - (area of the triangle formed by the line over x-axis from x=2 to x=4) + (Area of the triangle below x axis formed by the x and y axes and the line)

Take a very small dx part of the area under the parabola. Use integration within the given limits to calc the area under it.