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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.
` \int_(-5)^(5) \sqrt(5^2 - x^2 )dx `
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 = \frac{\pi r^2}{2}`.
Get help:
Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
`39.269908169872`