double integral

Q: Calculate the integral

A: Required formulae: ∫exdx=ex+c , c = integration constant∫abexdx=[ex]ab=eb-ea

Q: Compute integral

A: Given data: The given integral is ∫exex+1+123x+1dx. The given integral can be written as,…

Q: Compute the integral ∫dx / 5sinx+2cosx+2.

A: Apply t substitution

Q: Evaluate the integral: - *Input answer as decimal round-off to 2 decimal places.

A:

Q: What are Triple Integrals?

A: given,       Triple integrals .

Q: Evaluate the integral using integration by parts technique : z Vr+2 dr

A: We have to find the integral

Q: Evaluate the double integral. Int[2,6] Int[-2,2] (-u+5v) dudv

A: I have stated the used formulas in the solution

Q: 4. Find the double integral

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Q: Evaluate the integral: Ldx

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: sketch the region of integration, reverse the integral and evaluate 4-x 2 23 4-9

A: Consider the provided question,

Q: Use an improper integral and information from Exercise 21to find the work needed to propel a 1000-kg…

A: From Exercise 21:

Q: Use a computer algebra system to approximate the iterated integral. (Round your answer to three…

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

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Q: Use Romberg integration to compute dr correct to three decimal places.

A: Given integration is I=∫01dx1+x Let f(x)=11+x Here a=0, b=1 if we take 1 subinterval, then h=1-01=1…

Q: Evaluate the double integral S ry° dydx

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 3. Evalute the improper integral dr. Vr2 + 2

A: We have to evaluate the improper integral -  ∫-∞∞xx2+2 dx The given improper integral can be written…

Q: ye fipxp-

A: Let, the given integral is denoted by I.  I=∫01∫y1yex2x3dxdy            (i) Here,  0≤y≤11≤x≤y Let us…

Q: Calculate the integral   ∫6dx

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Q: Identify the region of integration for the following integral.

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Q: Calculate the integral ∫sec3xdx.

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Q: | (In(5æ)) (In(5x))²dx

A: We use the by parts method ∫(ln(5x))2dx…

Q: can you invent an exercise of double integrals over shaded regions?

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Q: loS dt:

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Q: integral

A: We have the integral : ∫y2+18y+16y2+162dy  We have to break it into partial fractions and then we…

Q: 7 1 dv = -7 V

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Q: Evaluate the iterated integral: dydx.

A: Definition used -                                                                       Where…

Q: Write the correct iterated integral using horizantal Cross - sections y=3x y=x? ..

A: First we find limit of x and y.

Q: Why might an integral found in a table differ from the same integral evaluated by a computer algebra…

A: Integral found in a table differ from the same integral evaluated by a computer algebra system as…

Q: | V9 – 21 dt =

A: Explained below

Q: What is the integrable form of dr? du u du

A: Given integral is:

Q: \ Calculate the double integral

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Q: 5. Integrate: 3. Integrat /Inx)4

A: Given  The integration I=∫1eln x4xdx

Q: to う

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Q: Sketch the region of integration and evaluate the integral of :

A: To evaluate and sketch the region of integration of, ∫03∫024-y2dydx

Q: Use double integral to find the avea l2: of the regien (4, 3) 3. -

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Q: Evaluate the double integral ſ IN ydxdy.

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Q: Calculate exact value of the double integral: L L xe dydx Note: switch order of intearation to knoe…

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Q: Find the integral: Ste 72 dt

A: Consider the integral is, I=∫te-7t2dt Then, consider the value of u=-7t2 then, du/dt=-14t and…

Q: a) Set up the double integral that would find the

A: Given - equation of surfaces which enclose to form the solid . z=2x2+y2......(i)…

Q: Express the integral / rV1: V125 – 23 dr in terms of Beta function.

A: The solution is given as

Q: Draw the integration region of the double integral and calculate its value

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Q: 9. Convert ¹42(4-4x²-y²)dydr into a triple integral with dV = dydzdx.

A: Here we conside the limits of x nad y then we try to find the limit of z for which after integrating…

Q: Calculate the iterated integral.

A: First integrate wrt y then x

Q: Evaluate the integral | 5x cotx°c

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Q: Calculate the integral   ∫2x^5dx

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Q: Fiud the in de finite integrae aud Check the results by A1fferen tiaton. 1

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Q: Evaluate the integral: æ V81 *Vs1 – z'da -

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Q: Evaluate the integral

A: Given integral" ∫1-4x2dx Substitute x=sint2 and differentiate it w.r.t "t'…