ex In evaluating Ve2x – 6eX + 9 (xp what is the part of the integrand that is to be assigned as u? What is the resulting integrable form?

Q: Consider dx x1/2 + x2/3 Find the integrand in terms of z. A [62²dz 1+z² B none of the choices 6 z5…

A: Using rationalizing substitution

Q: Jsino in(0) do? ioP (0)u What is the integrable form of cos

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Q: 5. Use the binomial expansion and Cauchy's Integral Theorem to evaluate P ( C=10 2n dz where C is…

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Q: #2) Use miapt nle w/ n=3 to approx intgral. b. (Si) AX= b-a→ 9-14 n 3. Xo =9 X2 = 5.4 Xz=3,1 %3D %3D…

A: Given: By midpoint approximation, the definite integral can be expressed as, Where ∆x can be…

Q: U V3-22- zt

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Q: Find a condition on a for which the integral dx exists, and evaluate the integ * +1

A: In the given question, the concept of integration is applied. Integration Integration is a method of…

Q: e* What is the integrable form of dr? ex - e du du 1) 2 du du

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Q: 3) Using the trafe boich unte, find the following integrats 2 Ⓒ S x lnx d x Aslo 1

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Q: 5) Evaluate the integral.cusc c for the constan6 of integrafion) 2(ean cx) +6an cx>) dx

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Q: dx Consider ·S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z.

A: Given

Q: @ set up (but do not eval vatc) the integral for tinding the sur face area of the solid from…

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Q: dr? What is the integrable form of et-e A (1-u²) ² du O fa- B 2 du 2 du 2 du 1.

A: Given Problem is solved in attachment.

Q: Use the definition to show that f(x) = x² is Darboux Integrable on [0, 3].

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Q: Graph the integrand and use geometry to evaluate the integral. 6 2) s V36 - x2 dx -6

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Q: Consider the following. Ju-(5 - u? + u°) du Simplify the integrand by distributing u3 to each term.…

A: detailed solution is given below

Q: use a computer algebra system to evaluate the triple iterated integral.

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Q: To integrate by u-substitution, which part of the integrand should you choose as u? SG) · 2ª · In 2…

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Q: Suppose that h is integrable and that , h(r) dr = 0 and ſ, h(r) dr = 6. What is h(r) dr ?

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Q: 7. Evaluate sizda by r (a) manipulating the integrand. (b) making a substitution. 88

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Q: S (y + 3x)dydx Evaluate:

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Q: What is the integrable form of dr? ex – e -* e u²) 2 du 2 du du

A: We have to find the integral

Q: Convert the given expressions to integrable form. Do not evaluate the integral. 6) Vx-Bdx

A: 6.∫14Cx-BdxC=1, B=5

Q: 15. Evaluate the integral zVx² + y²dzdxdy by using cylindirical coordinates.

A: I have Provided this answer in step-2.

Q: b. z- 3*dz

A: Given:      ∫z·3zdz   Integrate by parts: ∫fg'=fg-∫f'g     f=z→ f'=1   g'=3z →g=3zln3…

Q: a) Find the triple integral xdV.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Evaluate the integral S 3012 2/3 de using the two-point Gaussian quadrature rule. 1+16z4

A: Given integral is ∫−121221+16x4dx. We have to evaluate the given integral by using the two-point…

Q: Consider the following: ∫( x^4 +3)^2(4xdx) Use algebra to rewrite the integrand by expanding the…

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Q: hat is the integrable form of J JcoE e sin sin(0) do cos 1– u² du sin 2 – 1 du s(u) du

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Q: Let X,y EIR. Prove that if 21 x +35 y = 45 then x and y are not both integes.

A: Given: Let x,y∈ℝ. To prove: If 21x+35y=45, then x and y are not both integers.

Q: 4. Evaluate the iterated integral: dydx. 1/4 Ja2

A: The solution are next

Q: What is the integrable form of et dr? ex – e -x [(1-u²) ² du O Swi-) - 1) 2 du (1- " (D 2 du

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Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=2,…

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Q: In (a le) (2- sec2x)m sec'x sec ( 3A – x) What should be the value of A for dr to be integrable…

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Q: Evaluate the integra 7/t dt 7/t dt = t2 %3D

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Q: Use Fubini's theorem to evaluate drdy. v/2 Does the integrand satisfy the hypothesis of Fubini's…

A: Given integral is ∫y=02∫x=y21ex2dxdy The objective is to evaluate the integral using Fubini's…

Q: Find The integrad ef The funcbion -Sin X CUSt

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Q: 8. Evaluate the iterated integral. /8-z2-ya zdz dz dy

A: The given question can be solved as explained in step 2.

Q: dt J V5t + 30

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Q: What is the integrable form of dr? 1 -1) du -u?) 2 du 2022-01..

A: Find the integrable form by substitution method

Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=2,…

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Q: rdr a. V /x+3

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Q: ex In evaluating Ve2x -6e+9 dx. what is the part of the integrand that is to be assigned as u? What…

A: Given,           ∫exe2x-6ex+94dx

Q: Use the Fundamental Theorem of Calculus to evaluate (if it exists) 3 3t dt. IE the intes not svist…

A: f(x)=∫-233t-5dt To find the integral of f(x) if it exists using Fundamental theorem of calculus Let…

Q: D Find a singular saluhion of DE: %3D

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Q: V dt, evaluate each definite intergral using the Fundamental Theorem of Calculus, Part 2.

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Q: 17Va – 36 Evaluate the integral: -de

A: Given,          ∫17x2-36x4dx

Q: (§5.4, Q12) Evaluate the integral using FTC I: (5u* + u? – u) du.

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Q: J (u-2) (u+3) du

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Q: Find the integral. dx Select one: O A. 5ex - In |x| + C о В. 5хех - In \x| + C 5ex 2x2 C/2(x) with…

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