Suppose further that curl, F = 9 on the shaded region D, determine the following integral: f F. dr = [5x go X

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A: To evaluate the following integral. ∫02π∫23sinr2 cos θ  dr dθ

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A:

Q: 3. (In x) –dx dx k) xVln x evi xp-

A: We know that integration of xn   =  xn+1/n+1. And we know that derivatives of d(lnx)/dx =   1/x.…

Q: Write P(−0.62 ≤ Y < 0.34) as an integral. Then, interpret P(−0.62 ≤ Y < 0.34) as an area

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A: We're going to solve

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A:

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Q: Q/ Evaluate the following integrals. S f sec40 tan²0 de

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Q: S 2x. e*dx а. 4 3 b. J 20(2x + 1) dx

A: Part(a): Let the given integration is, I=∫2x.exdx

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A:

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A: The lower bound is 396.0039 The upper bound is 396.0653

Q: Evaluate the given integral using Trigonometric Substitution 27e#dæ (6e# –9e2z +10)

A: Given integration is                                     ∫27 e4xdx6ex-9e2x+10 The formula for…