In evaluating J*Vx+2 dx by substitution, if 4 =x+2 then what will be the resulting indefinite integral in terms of u and du? 2u ) du du +u

Q: Express the iterated integral in the opposite order. dy dx

A: First option is the correct option. Find the region of the integration graphically. The value for y…

Q: If | h(t)dt = 24 %3D and 8 |h(t)dt = 10.6 what does the following integral equal? h(t)dt- %3D

A: We know, ∫abf(x) dx = ∫acf(x) dx + ∫cbf(x) dx         (if a<c<b)

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: Given integral is: Using substitution and applying derivative:

Q: tan (In |4x2|) -dx is b in cos (In |(2x)*|)|+c. The integral of What is b?

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Q: 3x2 dr. In evaluating by substitution, if u =x+1 then what will be the resulting xP+1 indefinite…

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Q: e2 In(x) da

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Q: Use a substitution of the form u = ax +b to evaluate the indefinite integral belov 7x+1 dx 7x+1 dx%=

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Q: In evaluating JxVx-2 dr þy substitution, if u =x- 2 then what will be the resulting indefinite…

A: Explanation of the answer is as follows

Q: Evaluate the integral *(* – 10)"dz 6 by making the substitution u = 1 z° – 10- +C

A: ∫un du = un+1n+1+C ; where 'C' is an integration constant.

Q: Evaluate the integrals in Exercises 1. esin (e) dx 2. e cos (3e – 2) dt

A: Given the integration I=∫exsin(ex)dx

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A: a) We factor out 3, then integrate. c=integrating constant

Q: Match the correct representation of "u" to evaluate the given integrals by the method of…

A: We have to match the correct representation of u to evaluate the given integrals by the method of…

Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4 3 1…

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Q: calculate the result of the following integrals Sinł dz 19423,2 A) IZI 22 Z +4 dz IZI :4…

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Q: Evaluate the integral 20 | by making the appropriate substitution: u = 5 – 2 (2³ – 2)® dx %3D -

A: Evaluate the integrals

Q: Use the Fundamental Theorem of Calculus to evaluate (if it exists) 4t-5 dt. If the integral does not…

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Q: Next, integrate with respect to 0. T/2 1 e4 1 - de = 1. | T/2 1 - e4 Again, apply the Fundamental…

A: Here, all the parts are correct except part 3 of 6. The part 3 of 6 is: Evaluate: 12∫0π21-1e4dθ

Q: Determine the exact value of the multiple integral -In 101 ex-y+z dx dy dz – In z JIn 99

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Q: Identify the type of generalized integral +00 fx'e* dx- and in continuity (if converging) to be…

A: According to question,Given Integral,Let I= ∫0+∞ x2ex3 dx

Q: Evaluate the integrals in Exercises 2. J 3 dx dx 1. 9 + x VI + 9x

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Q: Find the general indefinite integral.   ∫ v (v2 + 2)2 dv

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Q: 1. A sprinter is running a race. If f(t) describes the sprinter's speed in meters per second, t…

A: f(t) represent sprinters speed meter per second.

Q: Evaluate the integral in terms of u. sinh u• du = + C %3D 3.

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Q: 1) The following formula is entry #26 in our textbook's Table of Integrals. u? du ="Va" +u° -…

A: Given the integral ∫x225+x2dxWe need to use the formulae ∫u2a2+u2=u2a2+u2-a22ln|u+a2+u2|+C

Q: 6. Calculate the integral in parts: Je (2x + 4) cos(4x) da.

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Q: Evaluate dt using a trig substitution. As well, provide another solution to evaluating V4+ t2 this…

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Q: Express the iterated integral fo SY² d as a non-iterated (i.e. single) integral in Y/1-y² terms of…

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Q: Use the substitution. 9 tan(0) to evaluate the indefinite integral 85dx +C J z²Væ² + 81

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Q: Evaluate the double integral. Sxy² da, D is enclosed by x = 0 and x =

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Q: Use a computer algebra system to evaluate the iterated integral. 9 y dz dx dy 9 -

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Q: Evaluate the integrals. In 3 6tei + Te'j+ 2 ln tk dt 18(In(3)-1)i+7(3-e)j+2(In(3))(

A: Topic- integration

Q: Evaluate the integral dx (4x + 14) by making the appropriate substitution: u = dæ (4x + 14)* Submit…

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Q: Evaluate the iterated integral. In 3 In 5 SS 3x+2y dy dx e 0 1 In 3 In 5 || 3x+2Ydy dx= 0 1 (Type an…

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Q: Inx 2. S soe ye*dzdxdy

A: topic - triple integration

Q: Consider the integral 7x – 21 da 2x – 3 If the integral is divergent, type an upper-case "D".…

A: the given integral is ∫027x-212x-3dx

Q: dz ins- , if we let y=Vz+4, then the new integral becomes z+4 -2 у-2 True B False

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Q: Evaluate the iterated integral I = SoS"(24y + 2) dady

A: Answer for the integral is : 14

Q: 1+1 dz is 1+ z6 By comparison test, the improper integral

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Q: Evaluate the iterated integral. In 4 In 3 4x+ 2y dy dx 0 1

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Q: Substitute u = x + 2 into u10 - zu° +c to evaluate the given integral in terms of x. 10 x(x + 2)8 dx…

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Q: Consider the indefinite integral " (5x³ + 4x² – 75x – 68 22 – 16 da Then the integrand decomposes…

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Q: Find the general indefinite integral using definition. (3t*-t³+6t²\ a) dt b) S(3 sin x – 4e* + 5* +…

A: Part a,Given,          ∫3t4-t3+6t2t4dt

Q: what is the integral of z 3^z dz

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Q: z · 3°dz

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Q: The result of the integral in 0 given V Vr²- 25 -dy is 5 tan0 -50 +C, True B False

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Q: Express the integral L Ey.2) dadrdy as an iterated integral in the other five different ways.

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Q: Consider the definite integral. (18x – 1) e9x²-x dx Let u = 9x? - x. Use the substitution method to…

A: We have to find the integrand after substitution.

Q: Evaluate the iterated integral. In 5 In 2 4x +4y dy dx 0 1 In 5 In 2 4x+ 4y dy dx = *Ydy dx = 0 1

A: Let's find.

Q: Use integration by parts to evaluate the given indefinite integral: In(2r)dr O 2r In(2r) -r+C None…

A: evaluate ∫ln2x dx