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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 $

$$\int_{\pi / 6}^{2 \pi} \cos (x) d x=-\frac{1}{2}$$

00:44

Amrita B.

Calculus 1 / AB

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

Integration

Oregon State University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:38

Evaluate the integral and …

00:48

08:09

04:40

01:36

Sketch the region of integ…

03:32

02:46

Evaluate the integral by i…

01:09

01:55

sketch the region of integ…

02:18

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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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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