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In the following exercises, evaluate the integrals of the functions graphed using the formulas for areas of triangles and circles, and subtracting the areas below the $x$ -axis.GRAPH
3$\pi$
Calculus 1 / AB
Calculus 2 / BC
Chapter 1
Integration
Section 2
The Definite Integral
Integrals
Integration Techniques
Missouri State University
Harvey Mudd College
University of Michigan - Ann Arbor
Boston College
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The first thing you will notice by looking at this question is that we have a negative eight to, which means that when we're looking at the end to grow from 0 to 12 we know that we've thought positive a one and then we're adding negative. Eight to remember a tune is below the X axis. It's a semi circle below the X axis. Therefore, word's gonna be subtracting because adding a negative is the same thing. It's obstructing, and then we can add a three because a three's above the X axis a one semi circle. So formula is 1/2 pi r squared R is one minus 1/2 pie or ours are getting bigger. As you can see. Two squared, plus 1/2 pie three squared, Yeah, the ours get bigger by one and we can see this all simplifies to three pot, which is gonna be our answer
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