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MATH138 Lecture 2: Integration techniques

Canada

Calculus 2 For Honours Mathematics

Mathematics

Matthew Kennedy

University of Waterloo

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Computer Organization and Design

Introduction to Microeconomics

Introduction to Macroeconomics

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Linear Algebra 2 (Advanced Level)

<div style="font-family:'Helvetica Neue', Helvetica, Arial;color:#333333;"> Explain the 4 integration techniques, Show complete understanding of the mathematical concepts used to solve the problem, and explain in detail when the techniques would be used and how <div><br></div> <div>A) U-Substitution</div> <div>B) Integration by parts</div> <div>C) Trigonometric substitution</div> <div>D) partial fractions</div> </div>

<div style="font-family:'Helvetica Neue', Helvetica, Arial;color:#333333;" align="left"> <p dir="ltr"><picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/79/7945298.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/79/7945298.png" alt=""></picture></p> </div> <p dir="ltr"></p> <div id="df8" class="hidden">Integration Techniques Question 8: Evaluate the following integrals: sec Î¸ tan Î¸ 9-25 sec Î¸ 0 c2 + r a2 4 </div> <span class="transcribed-text">Show transcribed image text</span> <span class="transcribed-image-text hidden">Integration Techniques Question 8: Evaluate the following integrals: sec Î¸ tan Î¸ 9-25 sec Î¸ 0 c2 + r a2 4 </span>

<p>CONCEPT CHECK</p>
<p>Integration Rules Decide whether you can find each integral using the formulas and techniques you have studied so far. Explain.</p>
<p>(a) <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/440543961285791/question/0.webp?img=d6ccc01c95e6573ab09ddf90409c99f1" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/440543961285791/question/0.png?img=be1f4f4001ca741a50d50438f19568e7" data-mlang="latex" data-equation="int%5Cfrac%7B2dx%7D%7B%5Csqrt%7Bx%5E%7B2%7D%2B4%7D%7D"></picture></p>
<p>(b) <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/440543961285791/question/1.webp?img=76cd13884605e8ecdf3458a80736708d" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/440543961285791/question/1.png?img=1eb6ec8f167e30d91ec4c55a36df65ca" data-mlang="latex" data-equation="int%5Cfrac%7Bdx%7D%7Bx%5Csqrt%7Bx%5E%7B2%7D-9%7D%7D"></picture></p>

MATH138 Lecture 2: Integration techniques

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