2. Evaluate the improper integral if it exists The improper integral diverges 1 0 0.2 0 2.3 0 2/2 4 0

Q: السؤال 7 Evaluate the improper integral if it exists ts*dx The improper integral diverges 10 1.20…

A: Solution:

Q: 9) Use Fubini's Theorem to compute the double integral ƒƒ_ƒ(x,y)dª_where…

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Q: Use a double integral to find the area of the shaded region.

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Q: dx Evaluate the improper integral if it exists] .1 The improper integral diverges .2 .3 8 .4 3 2

A: Given ∫081x3dx

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Q: dx Evaluate the improper integral if it exists .1 The improper integral diverges .2 6

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Q: dx Evaluate the improper integral x(In x)?

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Q: Calculate the double integrals 1. R xedxdy, R-[0,1]X[0,1]

A: To find the below double integral.

Q: dx Evaluate the improper integral if it exists 2.10 6.2 0 The improper integral diverges 30 .40

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Q: compute the value of the following improper integral. If it is divergent type D. dr (5x+1)

A: To compute the value of improper integral: I=∫1∞1(5x+1)2dx...(1)

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Q: dx Evaluate the improper integral x(lnin x )²

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Q: Evaluate the integral. dA, R = [0, 6] × [0, 16] x + 1

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Q: dx Evaluate the improper integral if it exists The improper integral diverges 10 6.20 8.4 O

A: Given that  The improper integral is

Q: 5. Find the integral in terms of w. dx Let x = w in the integral of 4dw 1+w wdw 1+w wdw) 4 1+w O 4 S…

A: In this question we have to find the integral in terms of w.

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Q: Evaluate the derinite Integral. #5 In(x) dx

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Q: B. Set up the integral for the area enclosed by y = 5x – x² and y = x from x =-2 to 6. Do not solve.

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Q: 1 dr. J =(1+ Inz)

A: Given indefinite integral is ∫1x(1+lnx)dx. Apply method substitution to solve the integral. Put…

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

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Q: dx Evaluate the improper integral if it exists The improper integral diverges 10 6.20 8.40

A: We have to find  improper integrals of given function.

Q: Evaluate the double integral using single applications of Simpson's 1/3 rule 2 (x2. 3y2 + xy³) dx dy…

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Q: 2. Evaluate the improper integrals of (a) / 1 In r dr de (b) 0+1)/$ (c) re dr

A: Given:

Q: Compute the indefinite integral. Show your work for full credit. (a) / 12(3 + 6y – 14)° (»5 + 3y²)…

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Q: Compute the value of the following improper integral. If it is divergent, type D. 1 dæ ¤ (In(x))

A: We have to check weather the given Integral is convergent or divergent.

Q: 1- Find the integral of: 2 cot - de T/2 A- B- / dr Vr

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Q: Define f : [0, 2] → R by f(x) = 1 for 0 sx S 1 and f(x) = 2 for 1 < x< 2. Show that fE R(x) on [0,…

A: Consider the given function.

Q: Evaluate the improper integral if it exists 1 dx: .1 2/2 .2 .3 The improper integral diverges .4 2.

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Q: 4. Compute the integral x sin (xy) dA where R is the region 0 <x <1 and 0<y < .

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Q: dx (x + 2)3

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Q: T/2 10 r = 8 cos 20 5 - 10 -5 5 10 -5 - 10

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Q: Consider the integral 1 -9 In(x) dx If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: Use a double integral to find the area of the shaded region. 7/2 20 r= 9+9 cos e 10 - 10 -5 5 10 15…

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Q: Evaluate the improper integral A) diverges 3 B 4 с N|9 2 3 -dx

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Q: dx Evaluate the improper integral if it exists 3 .1 O 8.2 0 The improper integral diverges 3 O 6.4 O

A: Option (4) is correct. Answer is 6.

Q: Evaluate the improper integral if it exists] .1 0 4. .2 0 1.30 The improper integral diverges.4 1/2

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Q: 15 Evaluate the improper integral J. (x- dx

A: Note: We are authorized to answer one question at a time, since you have not mentioned which…

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: 1. Compute the indefinite integrals: A. [4x+ Vx dx 3x+xdx В. B. S*dx

A: Question is solved.

Q: Use a double integral to find the area of the shaded region. 1/2 10 r= 5+5 cos e -5 5 10 -10

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Q: 1. Evaluate the integral using Integration by Parts. (a). S In(Inx) dx.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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A: First multiply the expression under Integral then integrate and put the limits

Q: area of the region. y1 = x2 + 2x + 2 y2 = 2x + 11

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Q: z · 3°dz

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Q: 1 dy dx as an iterated integral. x°y Evaluate the improper integral

A: ∫8∞∫e-x11x3ydy dx=∫8∞1x3[ln y]e-x1dx = ∫8∞1x3[ln1 - lne-x]dx{ ln1 = 0 }, {ln e-x= -x.1}= ∫8∞1x3[0 -…

Q: d) Use line integral method to evaluate F(x, y)• dř ,where R 1 F(x, y) = (3x y°i + 4xy² j) and M, N,…

A: The graph of curves y=x2, y=x is as follows The yellow colored region is region R

Q: Evaluate the improper integral if it exists dxp: 2.10 0.20 The improper integral diverges 30 2/2 40

A: Option (3) is correct. Integral diverges.

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

Q: Evaluate the improper integral if it exists 2.1O 1.2 O The improper integral diverges 3 0 6.4 0

A: