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The Natural Log Function: Integration Lesson 5.7
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Log Rule for Integration Because Then we know that And in general, when u is a differentiable function in x:
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Try It Out Consider these...
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Finding Area Given Determine the area under the curve on the interval [2, 4]
![Finding Area Given Determine the area under the curve on the interval [2, 4]](http://images.slideplayer.com./27/9200613/slides/slide_4.jpg "Finding Area Given Determine the area under the curve on the interval [2, 4]")
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Using Long Division Before Integrating Use of the log rule is often in disguised form Do the division on this integrand and alter it's appearance
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Using Long Division Before Integrating Calculator also can be used Now take the integral
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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 integration
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Integrals of Trig Functions Note the table of integrals, pg 357 Use these to do integrals involving trig functions
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Assignment Assignment 5.7 Page 358 Exercises 1 – 37 odd 69, 71, 73
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