# The Natural Log Function: Integration

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Log Rule for Integration. BecauseThen we know thatAnd as a rule, when u is a differentiable capacity in x: . Give It A shot. Consider these . . .. Discovering Area. GivenDetermine the range under the bend on the interim [2, 4]. Utilizing Long Division Before Integrating. Utilization of the log standard is frequently in masked formDo the division on this integrand and adjust it\'s appearance.

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Slide 1

﻿The Natural Log Function: Integration Lesson 5.7

Slide 2

Log Rule for Integration Because Then we realize that And by and large, when u is a differentiable capacity in x:

Slide 3

Try It Out Consider these . . .

Slide 4

Finding Area Given Determine the region under the bend on the interim [2, 4]

Slide 5

Using Long Division Before Integrating Use of the log govern is frequently in camouflaged shape Do the division on this integrand and modify it's appearance

Slide 6

Using Long Division Before Integrating Calculator likewise can be utilized Now take the necessary

Slide 7

Change of Variables Consider Then u = x – 1 and du = dx But x = u + 1 and x – 2 = u – 1 So we have Finish the mix

Slide 8

Integrals of Trig Functions Note the table of integrals, pg 357 Use these to do integrals including trig capacities

Slide 9

Assignment 5.7 Page 358 Exercises 1 – 37 odd 69, 71, 73