Evaluate the integral below by interpreting it in terms of areas.
In other words, draw a picture of the region the integral represents, and find the area using geometry.
∫−7772−x2dx
Note the limits of integration. Manipulate the equation by squaring both sides and isolating the contant, creating an equation of a circle. Graph the circle over the limits of integration. Use the formula for the area of half of a circle A=2πr2.