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Evaluating an Iterated Integral In Exercises 45–50, sketch the region of
Evaluating an Iterated Integral In Exercises 45–50, sketch the region of integration. Then evaluate the iterated integral, switching the order of integration if necessary.
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Chapter 14 Solutions
Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term
- Finding u and du In Exercises 1–4, complete the table by identifying u and du for the integral. 1.. | F(9(x))/(x) dx u = g(x) du = g' (x) dx | (52? +1)*(10z) dæ | f(9(2))/(2) dæ 1 = g(x) du = g (x) dx 2 /æ³ +1 dx 3. | Fo(2))/ (x) dz = g(z) du = g (x) dæ tan? x sec? x dx 4. | f(g(x))g(x) dæ u = g(x) du = g (x) dx COs e sin? 2.arrow_forwardTRANSFER TRAN SFER ACTIVITY 2: INTEGRATION THROUGH SUBSTITUTION Direction: Evaluate the following integrals. 1. S dx Vx 2. S dxarrow_forwardPractice with tabular integration Evaluate the following inte- grals using tabular integration (refer to Exercise 77). a. fre dx b. J7xe* de d. (x – 2x)sin 2r dx с. | 2r² – 3x - dx x² + 3x + 4 f. е. dx (x – 1)3 V2r + 1 g. Why doesn't tabular integration work well when applied to dx? Evaluate this integral using a different 1 x² method.arrow_forward
- In Exercises 33–46, sketch the region of integration and write anequivalent double integral with the order of integration reversed.arrow_forwardReversing the Order of Integration In Exercises 33-46, sketch the region of integration and write an equivalent double integral with the order of integration reversed. c4-2x 36. 1-x² IC 0 1-x dy dxarrow_forwarddx? What is the integrable form of 2 du du duarrow_forward
- Finding Limits of Integration In Exercises 9-18, write an iterated integral for dA over the described region R using (a) vertical cross-sections, (b) horizontal cross-sections. 3x X 12. Vy = ex y = 1 x = 2 Xarrow_forwardEvaluate 3zz dV where E ={{z, y, z) | 0 < z< 2, zarrow_forward) Using Green's theorem, convert the line integral f.(6y² dx + 2xdy) to a double integral, where C is the boundary of the square with vertices ±(2, 2) and ±(2,-2). ( do not evaluate the integral)arrow_forwardConsider dx and using u-substitution in rewriting the integrand as a function of u and du. Determine u if dx is replaced by 2(u- 1)du. 1+ x+ x+ xXarrow_forwarde* What is the integrable form of dx? B -1/2 D duarrow_forward人工知能を使用せず、 すべてを段階的にデジタル形式で解決してください。 ありがとう SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE CHATGPT 11. Use Definition 4.3 to prove that the surface area S over a region R in R² of a surface z = f(x,y) is given by the formula S = II V1+(%)+(97) (4) da. R (Hint: Think of the parametrization of the surface.)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
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