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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.

The Natural Log Function: Integration Lesson 5.7

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

Try It Out Consider these . . .

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

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

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

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

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

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

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