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Calculus of a Single Variable
- CONCEPT CHECK Determine whether each of the following statements is true or false, and explain why. Substitution can often be used to turn a complicated integral into a simpler one.arrow_forwardYOUR TURN Find xe2xdxarrow_forwardUse the differential to approximate each quantity. Then use a calculator to approximate the quantity, and give the absolute value of the difference the two results to 4decimal places. e0.002arrow_forward
- Complete the table. (Use C for the constant of integration.) Original Integral Rewrite Integrate Simplify x(x3 + 9) dxarrow_forwardx3 dx 2. 3-arrow_forwardThe graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y 12 y = g(x) 6 X 12 21 (a) g(x) dx 18 (b) g(x) dx 16 21 (c) д(x) dx Need Help? Master It Read Itarrow_forward
- dx 3. Г x V1-4 In2xarrow_forwardDescribe a first step in integrating dx. x2 - 6х + 34 Choose the correct answer below. O A. Use u-substitution with u = x2. O B. Factor the denominator. O C. Split the fraction into parts. O D. Complete the square on x - 6x + 34. O E. Use u-substitution with u =x2 - 6x + 34.arrow_forwardSxe*dx Use integration by parts and simplify your answer. ex – xex + C x + e* + C O >>>> x - e* + C xe* – e* +Carrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage