Line integrals can look a lot alike! But they represent very different things. Consider: (i) [f ds (ii) So For each of the above, answer the following questions: a) In words, what does the integral represent? b) Re-write the integral in the form we use to actually evaluate it (i.e. functions of t everywhere) c) For (ii) and (iii), re-write the integral in "scalar differential form." This is the form involving M, N, P and dx, dy, dz. F. dr (iii) [F F.nds

Q: 1 = S I .3 x³ sin(2x) (x² + 1)² -dx.

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Q: 8) (10 points) Use Integration by Tables (Appendix B) to find the integral: sin 2x dx 5+3 cos x

A: Explanation of the solution is given below...

Q: (b) Use induction and the Product Rule to prove d. -I" = nr"-1 for all n E No.

A: First principle of mathematical Induction : Suppose Pn is any statement dependent on n  where n∈ℕ .…

Q: 3. Evaluate the following indefinite integral: (2.a2 – cos(4r) + 5e"/6) dx 4. Verify your answer to…

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Q: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

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Q: Find the indefinite integral for the function -8y - 5. using the substitution u = [(8y-5)7 dy = S…

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Q: Can

A: We use Cauchy's Residue Theorem

Q: 3. Evaluate the following integrals. You might need to change the given integral to an equivalent…

A: As per Bartleby guidelines for more than one questions asked, only one is to be answered. Please…

Q: QUESTION 14 7 points) Use a change of variables to evaluate the following indefinite integral.…

A: Step 1:Step 2:

Q: 9- a) Evaluate the following integral. b) Find the indefinite integral: S c2 2w5-3w+8 dw S² 2w²…

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