Area Between Curves

Find the area between the curves $$y\ =\ x^2$$ and $$y\ =\ 2x$$ from x = 0 to x = 2. Give your answer as a fraction or a decimal to three significant figures.

When determining the area between $$y\ =\ x^2$$ and $$y\ =\ 4\ -\ x^2$$ , what would be the bounds (upper and lower limits) on the integral?

Find the area between $$y\ =\ x$$ and $$y\ =\ x^2\ -\ 2$$ from x = -1 to x = 2.

Find the area of the region enclosed by the curves.

Find the area of the region enclosed by the curves.

What would be the bounds if you used vertical rectangles to find the area?

What would be the bounds if you used horizontal rectangles to find the area?

Write the integral that would be used to find the area bounded by

y = x² + 1, y = x - 2, x = -2 and x = 2.

Find the area of the region bounded by the parabolas y = 2x - x² and y = x².

What is the area of the region between the graphs of $$y=x^2-1$$ and $$y=-x-1$$