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

Q: Evaluate the indefinite integral.

A: To evaluate the below indefinite integral.

Q: Use integral tables to evaluate the integral. S- 1 xp. xV64 - x2

A: Evaluate the given integral  ∫1x64-x2dx by using table of integrals as we know that from the table…

Q: Evaluate the integral of 0∫3 3x3+2x+10dx a. analytically b. using Simpson's 3/8 rule with 3…

A: ∫033x3+2x+10dxApply the Sum Rule:…

Q: The integral S dydx represents what?

A:

Q: Prove fulay's formule -CstD)4isin LO)

A:

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

A:

Q: Evaluate the integral. 4 (5 - t)Vt dt

A: The objective of the question is evaluate the definite integral.

Q: Fimd dy using Implict die Differentiaten 3xニ3 2. 土

A: Given equation is x2y+3xy3-x=3. To find dydx using implicit differentiation. Solution: Implicit…

Q: sketch andl eualuate the idouble integral 6. Fexp

A: We need to sketch evaluate the given double integral.

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

A: From Exercise 21:

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

A:

Q: 10

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Q: Plear schre the intguat scre the integroad 5-5x12

A: We have to solve the given integral. We will make use of substitution method to solve this integral.

Q: 5. Integral ReR dR

A:

Q: VaS+2

A:

Q: 3 Find tue Inde finite intyrel 2C In (x") doc at

A:

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: double integral

A:

Q: 2. Use the Comparison Theorem to show that the improper integral dax Va4 diverges. Provide a full…

A: Comparison test:

Q: Calculate the integral   ∫6dx

A:

Q: Compute the double integral given by rcose psinedpde

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Q: Make the graphical representation of applying to evaluate integrals using Simpson’s 1/3 rule.

A: Simpson's rule is used for integration. It is numerical approximation of integrals(definite).…

Q: sec =zydy

A: Given

Q: Consider the definite integra

A: Given,            ∫1424x34x2-1dx

Q: loS dt:

A:

Q: Lex+3y dxdy

A:

Q: Evaluate the iterated integral: dydx.

A: Definition used -                                                                       Where…

Q: find the volue of the intgo *P: od specify the integool dy vaiedes

A:

Q: Using the Simson Scientist Rule4n Psychological Summit Integral O 0.69312 O 0.69317 O 0.69320 O…

A: According to Bartleby guidelines we are supposed to solve a question at a time. Please upload the…

Q: | V9 – 21 dt =

A: Explained below

Q: Business Calc 2 please show detailed steps! Thanks!

A:

Q: How is l'hopital's rule used for 1^infinity?

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Q: Evathte thefottowing integtats using folar methed s

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Q: 2 Use Bisection methed to fnd soletons acCurete within 10 3D0

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Q: Evaluate the impreper integral de 8.

A: It is given that, ∫-∞∞xx4+1dx Let's make a substitution at x. Let us consider, x=tan θ  ...(1) This…

Q: b) Is the gene relised inteqral converoent or diveraent? Enter its (finite) value &f its converoent.

A:

Q: Prove that -mX 2mL -2 mL Cosh mL

A: The solution of the problem is given in the next step.

Q: Calculate the following double integral: S 2dydr

A: Given,          ∫02∫0x2yxdydx

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

A: Given  The integration I=∫1eln x4xdx

Q: Evaluate the impaoper integsal l da

A: Since ∫-∞∞dxx2+6x+12 is an improper integral because both limits (upper and lower) approaches…

Q: Evaluate the double integral ſ IN ydxdy.

A:

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

A:

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: dt 1) Show that converges. (Hint: Write as two integrals, from 0 to 1 and from 1 to ∞)

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Q: Show that there is a composite inte-

A: To prove that there is a composite integer in every arithmetic progression                 ak+b,…

Q: 8. Ssin(1 – Int)dt

A:

Q: Evaluate the inte gral

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Q: Calculate th integral ĽS(cosx )

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: