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Integrate each of the functions.$$\int_{\pi / 3}^{\pi / 2} \frac{2 \sin \theta d \theta}{\sqrt{1+\cos \theta}}$$

$4 \sqrt{\frac{3}{2}}-4$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 1

The General Power Formula

Integrals

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:15

Evaluate the following int…

01:12

Evaluate the integrals.

01:48

Evaluate the integrals…

01:10

04:19

First make a substitution …

01:51

06:18

02:07

Use two or more substituti…

02:22

Evaluate the integral.

06:41

we want to evaluate the following expression. The integral from pi over three to pi Over two have to sign data. The data divided by square root of one plus coast Data. This question is testing our knowledge of methods of integration in particular is testing our ability to You are recently learned powerful put integration which states that the integral of U. To the N. D. U. Is U. To the N plus one divided by N plus one plus. See if we identify you and Andy you in this problem we can easily use the power rule to solve so since we have one plus Costa to raise the route one half, it must be. That is are you so you as one with Costa do you? Is negative sign data the data and is equal to negative one half. So we have an extra factor of two in our integral that we carry over to the final solution so are integral. Is negative two times. To route one plus coast data. By over by over three to pi over two or other final solution four. Route 3/2 -4.

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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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