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Integrate each of the given functions.$$\int \frac{5 d x}{\sqrt{x^{2}+2 x+2}}$$

$5 \ln \left|\sqrt{x^{2}+2 x+2}+x+1\right|+C$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 8

Integration by Trigonometric Substitution

Integrals

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Lectures

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In mathematics, precalculu…

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In mathematics, a function…

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Evaluate the integral.…

07:40

Evaluate the integral.

04:25

Use substitution to find e…

01:11

01:16

Find each integral.$$\…

01:37

Evaluate each definite int…

01:10

Calculate the integral.

06:00

$$\text {Evaluate the foll…

02:27

Evaluate the following int…

03:52

in the problem we have been given integration five day X upon whatever off X squared plus two x plus two. Now Hill, this is written as five integration takes upon Uvarov X squared plus two X plus two. This is equal to five digression dx upon Uvarov X plus one whole square plus one. Now further we have too late assume X plus one that equals you or dx become do you? Therefore it is five condition do you upon whatever off U. S squared plus one that equals to five Ellen The road you esquire plus one Plus you. This is equal to five Ellen We got off X-plus one whole square plus one plus X plus one. Now this is equal to five Ellen and the root this is X Squire Plus two weeks plus two Plus X-plus one plus C. So we have this as our final answer to the problem.

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