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Evaluate the integral by interpreting it in terms of areas.$$\int_{-3}^{0}\left(1+\sqrt{9-x^{2}}\right) d x$$
$\frac{9 \pi+12}{4}$
Calculus 1 / AB
Calculus 2 / BC
Chapter 5
Integrals
Section 2
The Definite Integral
Integration Techniques
Missouri State University
Baylor University
University of Nottingham
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this question asked us to evaluate the integral by interpreting it in terms of area. So from executive 3 to 0 and then one plus square root of nine minus X squared DX, we can consider this to essentially be a one plus eight to. So in other words, 1/4 times pi times are squared, plus three times one, which is nine pie close, 12/4.
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