In Exercises 5–8, sketch the region of integration and write an equiva- lent integral with the order of integration reversed. Then evaluate both integrals. r4 c(y-4)/2 dx dy Vx dy dx 5. 6. -V4-y ~3/2 cV9-4y² r2 7. y dx dy 9-4y² 8. 2x dy dx

Q: sketch the region of integration and evaluate the integral.

A: The given integration is  I=∫01∫0y23y3exydx dy We have sketch the region of integration and also we…

Q: -5 Evaluate the integral using integration by parts technique : a Vr+2 dx

A: on applying by parts we get

Q: Use integration Method find : 1- The area 2- Moment of inertia, I.and I y y = h(x/b)-

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: 2-x Consider the integral [ff av = √₁² √²-²² √²-* [[ [* dV 0 0 S (a) Sketch the solid S. dz dy dx.

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Q: Q2/ Sketch the described regions of the integration: 0sxs1, e* syse.

A: The region is bounded by 0≤x≤1, ex≤y≤e

Q: change the cartesian integral in an equvalant polor integral then evalute 2x-x² 1 the polor integral…

A: To change cartesian equation into polar, we use following substitutions x=r cosθy=r sinθdydx=r dr dθ

Q: Consider the Double Integral (DI) √²y²1 04X21 I=S'S _ sec² (y² +2₂) dy doc (1) Sketch the region of…

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Q: @ Evaluate the integrals Jsx+y+2, dz dy dx-

A: Note:-   as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute 2x-x² 1 the polor…

A:

Q: Evaluate the integrals in Exercises  using integration by parts.

A: Note:- We’ll answer the 19th question since the exact one wasn’t specified. Please submit a new…

Q: For the following integrals, draw a sketch of the region of integration. (a) (c) / / (r, y. =)…

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral…

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Q: Reverse the order of integration and integrate J e* dy dx. (If you can't figure out how to reverse…

A: Given: ∫01∫1exexdydxQuery is to reverse the order of integration and then integrate

Q: Identify a strategy Suggest a technique of integration for each of the fol- lowing integrals based…

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

Q: Evaluate the integral 8x cos y dy dr y – 4 by reversing the order of integration.

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Q: Sketch the region of integration and change the order of integration. So SN f(x, y)dyd.r f (x, y)…

A: The given integral is ∫04∫0xfx,ydydx. Use the limit values to identify the region of integration as…

Q: 3. Let W = √u+v². Find 2³ W du² dv

A: The function is given by W = u+v2 To evaluate: The expression of ∂3W∂u2∂v

Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral so…

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Q: Q) Sketch the region of integration (D) and evaluate the following integrals: (1) S₁₂ fe* √y dy dx ,…

A: Step 1: Step 2: Step 3: Step 4:

Q: What is the antiderivative of the integrand dx ? 2e*

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