Q2 Evaluate the integral by first reversir 5 c2 ntegration Sán Vxª + 1dxdy Vy A: 6.9945

Q: Evaluate the following triple integral over half unit ball below y-plane(B), //| Væ² + y? + 2² dV. B

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Q: (a)

A: Given,           jj

Q: dx 3. 4

A: We have to find the value of the integration                            ∫xy2+x2432 dx Since we have…

Q: xyzdV where E is the solid: 0 < z < 8 ,0< y< z ,0<x < y.

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Q: Use a trigonometric substitution to integrate the function f(x)=x√x² - 9 x². Check your work by…

A: put put x2-9=sin2t⇒2x dx=2 sin t cos t dtNow∫x (x2-9) dx=∫sin2t [sin t cos t dt]=∫sin2t. cos t .dt…

Q: 8. (x – y) dV, where E is enclosed by the surfaces z = x² – 1, z = 1 – x² , y = 0, and y = 2 E

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Q: Evaluate the integral: 3xe-/4 dr

A: we will do it by integration by parts ∫uv=u∫v-∫u'∫v

Q: find the integral:  1/(x2(4-x2)1/2 using trig substitution   that is 1 in the numerator with x…

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Q: 18 z-ya (i) z (x² + y? + z?) dz dydz I =

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: lex-25 dx

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Q: 2x 35. x2 + 6x + 13 -бх + 13

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Q: Evaluate the following integral: JIS [xlnytan z dV if S = {(x, y, z) € R³ : − 1 ≤ x ≤ 0, e ≤ y ≤ 2e,…

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Q: (y5 – x²e») dx dy -11-3

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Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: TT/4 0 tant di

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Q: Truman City College Department of Mathematics Quiz 27 Mean Median Mode Math 118 Spring 2021 Please…

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Q: Evaluate the integral: =°/1+ 64z*dz

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Q: 17. 6xy dV, where E lies under the plane z = 1 + x + y and above the region in the xy-plane bounded…

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Q: b 2 2 чих nx dx их

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Q: 6 ýx In x=y

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Q: (1) / : dr. x² + 4

A: For the first sub part we use the standard formulas for integration.