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Problem

Evaluate the definite integral. $\int_{0}^{\pi /…

00:45

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67

Problem 43 Medium Difficulty

Evaluate the definite integral.
$\int_{1}^{4} \frac{e^{\sqrt{x}}}{\sqrt{x}} d x$

Answer

$2 e^{2}-2 e$

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Biocalculus Calculus for the Life Sciences

Chapter 5

Integrals

Section 4

The Substitution Rule

Related Topics

Integrals

Integration Techniques

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Video Transcript

this question asked us to evaluate the definite into girl we know we can make. Are you what? The exponents, as which is square root of acts, therefore are d'you is multiplied by two and is equivalent to one over square root of X d x. Therefore, we have two times the integral from 1 to 2. We've changed the limits of integration of excess four than us. Two exes one than you is one. So from 1 to 2 of either the u. D U, which is equivalent to to eat of the you from 1 to 2 plugging in, we have two times e squared minus each the first power which is equivalent to 0.934 or to e squared minds to e depending on whether or not you want an exact

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Biocalculus Calculus for the Life Sciences

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