Given a > 0, the improper integralJa ran-ix(1+x³)' dx is convergent to In- In if: a = 1 a = 2 O the above O the above a = a = V3

Q: Determine whether improper integral converges or diverges, and find the value of each that…

A: Given improper integral is ∫-∞-1 lnxdx.

Q: Determine if the improper integral | (x+2)* 12 dx converges or diverges. If it -8 converges evaluate…

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Q: Evaluate the integral if it converges or show that it diverges: integral 1 to 9 1/(√x−3)dx.

A: Given that : 1/(√x - 3)  evaluate the integral between 1 to 9. And also check it is converges or…

Q: The improper integral dx is 0 21-x- O none 5 T convergent to convergent to

A: In this question we have to find the value of improper integral

Q: dx (x– 1)%

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Q: Determine whether improper integral converges or diverges, and find the value of each that…

A: Given integral, ∫3∞4xdx

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answe dx = (x +…

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Q: Determine whether the following improper integral is convergent or diver- dx e-# + e"

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Q: Determine whether the improper integral converges or diverges. dx 1/3 -3 O Converges Diverges

A: Given query is to find integral converges or diverges.

Q: dx 0, бх + 1

A: We have to check whether the given integral is converges or diverges.…

Q: Determine whether the improper integral converges or diverges. Fnd the value if it converges.…

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Q: dx x2 – 1

A: Given: ∫02xx2-1dx

Q: dx 6) 1 х — 4 -

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Q: 6. Is the following improper integral convergent? There is no need to compute the answer, but you…

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Q: 2.) xe" dx 8.

A: Given query is to find integral converges or diverges.

Q: Determine if the improper integral el/x dx x2 converges or diverges. If it converges, find its…

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Q: Determine if the improper integral, 73 dx, converges converges or diverges.

A: the integral is improper since 0 is a point of infinite discontinuity of the integrand.The integrand…

Q: Evaluate the improper integral if it converges. (If the quantity diverges, enter DIVERGES.) 2e* dx

A: We have given an improper integral; We know that if an improper integral evaluates a real value…

Q: Determine whether the improper integral o dx diverges or 1+el4x converges. Evaluate the integral if…

A: Answer and explanation is given below

Q: In the given equation as follows , determine whether the improper integral diverges or converges.…

A: ∫1∞lnxx2dx

Q: Determine whether the improper integral diverges or converges. dx 1.f (2x-1)³

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Q: Determine whether the improper integral diverges or converges. dx 1. (2x-1)3 7 dx 2. -1* + 1

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Q: Calculate the value of the integral dx to show that it is convergent. Then, use this result and the…

A: The given integral,∫1∞1x2dx and ∫1∞x2x4+x2+1dx

Q: Determine whether improper integral converges or diverges, and find the value of each that…

A: The given integral ∫0∞2e-2xdx can be evaluated as, ∫0∞2e-2xdx=2e-2x-20∞…

Q: Evaluate the improper integral if it converges, or state that it diver - 1 dx 1 8 Diverges

A: We have to check

Q: 4) Determine whether the integral converges or diverges, and if it converges, find its value. - dx…

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Q: Determine whether improper integral converges or diverges, and find the value of each that…

A: Given:            ∫0∞dx(4x+1)3

Q: Determine whether improper integral converges or diverges, and find the value of each that…

A: ∫5xe9x dx=5∫xe9x dx=5x·∫e9x dx-∫dxdx·∫e9x dx dx+C=5x·e9x9-∫1·e9x9 dx+C=519x e9x-19·e9x9+C=519x…

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer.

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Q: Determine whether improper integral converges or diverges, and find the value of each that…

A: The given improper integral is ∫0∞1x+92dx.

Q: Determine whether improper integral converges or diverges, and find the value of each that…

A: Given∫-∞-1(x-2)-3dx To findWhether integral converges or diverges.

Q: dx x3

A: NOTE: Refresh your page if you can't see any equations. .

Q: use the Comparison Test to determine whether or not the integral converges.

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate…

A: Given; I=∫0+∞6dxxx+1  ...1 Apply the substitution method to solve the given integral. Let,…

Q: 4. Does the integral converge or diverge? If it converges, what does it converge to? dx

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Q: Determine whether the improper integral converges or diverges. 7x +5 dx 2 1 Diverges O Converges

A: Here, to find the integral ∫1∞7x+5x2dx And, ∫1∞7x+5x2dx=∑n=1∞7n+5n2

Q: 3) Use the Comparison Test for Improper Integrals to determine whether the following integral…

A: This is a problem of improper integral. We will assume another function g(x) and try to prove that…

Q: How do I do this one?

A: Given integral is The integral is improper and can be evaluated as follows

Q: Determine whether the following improper integral is convergent or diver- dx e- + e*

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Q: Determine if the improper integral In (x²) dx converges or diverges. If it converges, find its valu

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Q: Determine whether the improper integral diverges or converges. -6X dx xe converges O diverges

A: Given, ∫-∞0xe-6xdx

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

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Q: 0 1 -dx 1 1. 1 dx 1 (3x+1)² 2.

A: Determine whether the following improper integrals are convergent or not.

Q: 2.) xe" dx

A: Given improper integrals is  convergent. Explanation is given below

Q: Determine if the improper integral converges or diverges. If it converges, find its value. In dx

A: Here we have to integrate the given problem.

Q: 8. Determine if the improper integral is convergent 00 -3x dx 6 e xp,

A: Given integral is   ∫0∞6e-3xdx Then  ∫0∞6e-3xdx = 6∫0∞e-3xdx = 6e-3x-30∞=-2e-∞-e0=-2(0-1)=2 ⇒…

Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

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Q: 00 dz (7x – 2)8

A: We need to evaluate the given integral-

Q: 9) Determine whether the improper integral diverges or converges: 0o 4 dx

A: Evaluate the integral, if it has a real value, it converges.

Q: Determine if the integral x dx To x² – 9 converges ?

A: