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Evaluate the integral and interpret it as a difference of areas. Illustrate with a sketch.
$ \displaystyle \int^{2\pi}_{\pi/6} \cos x \,dx $
$$\int_{\pi / 6}^{2 \pi} \cos (x) d x=-\frac{1}{2}$$
01:29
Frank L.
Calculus 1 / AB
Chapter 5
Integrals
Section 3
The Fundamental Theorem of Calculus
Integration
Campbell University
Baylor University
University of Michigan - Ann Arbor
Idaho State University
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Okay. The integral from pi. Over six to pie, Of course. Sign Axe Detox we know is sine X. And then we have our bounds plug in Sign of two pi, which we know is zero minus sign of plow over six, which we know is 1/2 0 minus 1/2 is negative 1/2. This is our solution. And then to illustrate this.
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