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Integrate each of the given functions.$$\int_{1}^{4} \frac{e^{\sqrt{x}}}{2 \sqrt{x}} d x$$

$e^{2}-e$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 3

The Exponential Form

Integrals

Missouri State University

Harvey Mudd College

Baylor University

Lectures

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Evaluate each integral.

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Evaluate each definite int…

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Use integration by substit…

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we want to integrate the following expression. The integral from 1 to 4 of each of the square root of X divided by two root X. D. S. This question is testing our knowledge of methods of integration in particular. It's testing our ability to deploy such methods as exponential integration. Remember that exponential integration states that the integral of either the U. D. U. Is either the U. Class C. So if we identify you do you and our problem we can go ahead and solve using this formula since you is whatever is raised to the power of E and are integral. It must be that you as root X. Which means to you is 1/2 X. Dx. Thus we see they are integral perfectly matches integral to the U. D. U. Which means we can plug in either the U plus see from our bounce so interview interview do you is even the X. From 1 to 4, plugging in one and four. Let's evaluate this definite integral as e squared minus heat.

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