79-85. Limits of sums Use the definition of the definite integral to evaluate the following definite integrals. Use rightRiemann sums and Theorem 5.10.550. ₁ (1-2) dzx)

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Answered: 79-85. Limits of sums Use the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Evaluate the integrals for f(x)f(x) shown in the figure below. The two parts of the graph are semicircles. ∫0 to 2 -------> 2f(x)dx ∫0 to 6 -------> 4f(x)dx ∫1 to 4 --------> 4f(x)dx ∫1 to 6 --------> ∣5f(x)∣ dx -------> absolute value of 5f(x)
2x/5+5x=22/15
Question: Let f(x) = x³ + 1. a. Write the Riemann sum of f(x) between x = 0 to x = 3 using three subintervals using the Right sums and estimate the area under the graph of f(x) between x = 0 to x = 3. b. Write the Riemann sum of f(x) between x = and estimate the area under the graph of f(x) between x = 0 to x = 3. 0 to x = 3 using three subintervals using the Left sums c. Write the Riemann sum of f(x) between x = 0 to x = 3 using three subintervals using the Midpoint sums and estimate the area under the graph of f(x) between x = 0 to x = 3. d. Write the Riemann sum of f(x) between x = 0 to x = 3 using three subintervals using the Upper sums and estimate the area under the graph of f(x) between x = 0 to x = 3. e. Write the Riemann sum of f(x) between x = 0 to x = 3 using three subintervals using the Lower sums and estimate the area under the graph of f(x) between x = 0 to x = 3.
show your work, thanks for your answer
2. Write the Riemann sum to find the area under the graph of the function f(x) = x* from x = 5 to x = 7. lim E5+ lim
Find the indefinite integral. S cos ³130 sin130 Select one: a. O b. O c. O d. O e. de sin130 (3+ sin²130) 5 sin130 (5-sin²138) 5 2 sin130 (5+ sin 130) 5 2√sin130 (3-sin²138) 5 2√ sin130 (5-sin²130) 65 +C +C +C +C +C
Just in case it's hard to read the instructions, it says: Evaluate the definite integrals, using the Fundamental Theorem of Calculus to find an exact answer.
Evaluate the definite integral 플 2 sin (a) do 4 Give your answer exactly, i.e.as an integer, fraction ar using surds.

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79-85. Limits of sums Use the definition of the definite integral to evaluate the following definite integrals. Use right Riemann sums and Theorem 5.1 80. 5 L³ (₁ (1 − x) dx