1/x e 7 dx y3 -1

Q: dx 1 converges or diverges, it would be useful to compare the integrand to To determine if a2 + Va…

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Q: 2. Determine if S dx is convergent or divergent. x²-x

A: In this question we have to determine if this integral convergent or divergent. If limits exists…

Q: 1 (x + 1)2 dx -2

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Q: Does / dx converge or diverge? Justify. -7 0, x' + x'

A: Plot the graph of the function.

Q: allsweCI -5e" dx converges 4x to

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Q: 1 dx is convergent True False

A: Definite integration

Q: et Determine if the improper integral dx converges or diverges. (1 - e)2 If it converges, find its…

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Q: dx (x– 1)%

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Q: 1 dx (x + 1)2 -2

A: We have to determine whether  ∫-2o{1/(x+1)2 }dx  is convergent or divergent.  Let I =  ∫-2o{1/(x+1)2…

Q: dx converges. Determine the values of p for which

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Q: Determine if +∞o 5 dx √x-1 is convergent or divergent.

A: Solve the improper integral then using expansion at infinity solve limit

Q: 13 1 dx V13 - O convergent O divergent

A: 13-x=z-dx=dz∫113-x3dx we need to find.

Q: x² + x - 1 dx J, x(x2 – 1) is convergent or divergent.

A: We have to solve the integral and check it is convergent or not

Q: dX 2) Show that ? Xe converges/diverges.

A: SOLUTION-

Q: 1 -dx xln*x 1.

A: To determine if the following is a convergent or divergent. ∫e∞1xln4xdx Solution: A indefinite…

Q: 0o Inx dx Evaluate it and state whether it converges or diverges. x2 d)

A: That's easy. Have a good day!!!

Q: 1 x + ex 2 g dx

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Q: 1 dx is convergent True 8

A: Solution is given as below:

Q: 2) is E=1 2n convergent?

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Q: 5. Use the comparison test to determine if each integral converges or diverges b) 2 2/3-4 a) e-x² dx

A: Solution: 5.a ∫1∞e-x2dx

Q: 1. Determine if the infinite integral is convergent or divergent dx x² + 2 - 2

A: Note: As per our guidelines we are supposed to answer only one question. Kindly repost the other…

Q: dx Jx +x²

A: Please see the below picture for detailed solution.

Q: Determine if  ∫3-2(1/x^3)dx  is convergent or divergent.

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Q: Perform a test to determine if it converge or diverge -1 x 2sin 1 dx 1– x -1

A: The function is given by: ∫-112sin-1x1-xdx If the function fx=2sin-1x1-x is positive, continuous and…

Q: 4. Determine whether the function g(x) = roo sin²x converges or diverges by comparing it to f(x)…

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Q: Use the previous item to determine if the improper integr 2x – x3 | dx (х — 1)2(г2 + 1) converges or…

A: Given that ∫-∞02x-x3x-12x2+1dxSolution…

Q: dx 4. Determine if the integral converges or diverges. (x – 2)

A: In this question we have determine the integral converges or diverges

Q: In(z2) dz Is the improper integral convergent or divergent? Solve for its value.

A: So, we will solve this integral using by-parts formula Integral I = ∫-10ln(z2) dz We can write this…

Q: Find 2x dx. (if it converges)

A: Idea: use substitution method to integrate  then we get undefined value  so integral is not convert

Q: 2+cosx 1. Use the comparison Theorem to determine whether dx is convergent or divergent

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Q: [ 1+2x)e*dx is convergent

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Q: 353, Without integrating, determine whether the integral dx converges or diverges by comparing the…

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Q: 1. Determine if the infinite integral is convergent or divergent r+oo dx |x² + 2 -00

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Q: 3 9x Determine if the improper integral | dx converges or diverges. If it (²-9) converges evaluate…

A: Solution:- solve the integral

Q: 1 -dx x In*(ex) 1. e

A: Topic = Integration If the limit exists and is a finite number, we say the improper integral…

Q: Determine whether the integral is convergent or divergent. *e-1/x dx x2

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Q: Find f xln(x +1)dx

A: ∫x ln(x+1) dx =∫ddxx22 ln(x+1) dx and by IBP: ∫uv'=uv-∫u'v =x22 ln(x+1)-∫x22ddxln(x+1) dx =x22…

Q: .2 x+15 dx Jx* +3 1

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Q: IV. Determine if the given is convergent or divergent. 1. dx (x2 + 1)² 1

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Q: 1 dx xln* (ex)

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Q: Determine whether the improper integral or is divergent. ∞ 1 1+2* + e² dx is convergent

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Q: dx and state whether it converges or diverges.

A: Given that a infinite integration and we find it is converges or diverses. We know that Converse…

Q: -4 After evaluation, Jo dx tends to be 0 x2-9 A. convergent B. divergent C. insurgent D. allegiant

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Q: 1 [3] b) Determine whether dx converges or diverges. Justify your answer 1+x?

A: According to the question, we have to determine whether ∫0∞11+x2 dx converges or diverges. If the…

Q: 11 dx Determine whether is convergent or not. (3 – x)2/3

A: As the value of Integral is finite, it converges.

Q: Question 10 Determine whether the improper integral converges or diverges. dx 10 -9 A Diverges B)…

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Q: +00 1 dx xln*(ex) 4 e

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Q: (b) Explain why the integral e- *x* dx is convergent.

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Q: Perform a test to determine if dx converges or diverges. - 0o Vx° +6

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