Problem

Integrate each of the given functions. $$\int_{1}…

Problem 19 Easy Difficulty

Integrate each of the given functions.
$$\int_{1}^{3} \frac{1+x}{4 x+2 x^{2}} d x$$

Answer

$\frac{1}{4} \ln (5)$

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 28

Methods of Integration

Section 2

The Basic Logarithmic Form

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Video Transcript

the problem we have to find integration from 1 to 3. So one plus eggs divided by four X plus twice. X. Squire, D X. So here we have to assume four X plus two X. Squire as Z. So this is four plus two into two X. Mhm two D X. This is equal to daisy are it is four plus four X. D X equal daisy. So further it is four into one plus X. D. X. That is equal to the zero. Or this becomes one upon four. Integration 6 to 30 daisy upon zero. This is equal to one upon four. Ln march zero six and 30. Therefore it is one upon four and two Ln march 30 minus Ln march six. So this is equal to 1.4 Ln 30 divided by six. So this is equal to one upon four Ln march five. So this is equal to further 0.402 And this is the answer.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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