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# Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the given integral with the specified value of $n$. (Round your answers to six decimal places.)$\displaystyle \int_0^{\frac{\pi}{2}} \sqrt{1 + \cos x}\ dx$ , $n = 4$

## a. 1.838967b. 1.845390c. 1.843245

#### Topics

Integration Techniques

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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### Video Transcript

problem. 10. You need a calculator to solve this problem. Here is the function and needs equal to four. So they're tact is equal to pi over to the idea by four. So it's pi over eight, right? You need to know what it is. He, um an ass. Here's the PMS there he is equal to pi or a right. And just calculate there's no tricks here. Just calculate, calculate, and you can go. The cardinals were here.

#### Topics

Integration Techniques

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp