89. dx x!/3 + x2/3

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

A: To evaluate the integral∫0∞x3(x2+1)2dx

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 below integral is convergent or divergent. If it is convergent, evaluate the…

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Q: Use the Comparison Theorem to determine whetherthe integral is convergent or divergent.

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

A: If f(x)≥g(x)≥0 on the interval [a,∞) then, If ∫a∞f(x)dx converges then so does∫a∞g(x)dx. If…

Q: (x--1)dx Vx6-64

A: Given integral  ∫2∞ x2-1x6-64 dx

Q: dx 1

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

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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: 9. Evaluate the following integral and state whether it converges or diverges. xe dx Check your work…

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Q: Use correct notation to evaluate the improper integral and determine if it converges and diverges.…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent. arctan(x)…

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Q: 9. Use the Comparison Test to determine whether the following integral is convergent or divergent.…

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Q: 3. Determine whether the improper integral is convergent or divergent. Do not guess! y2 dy 0- y6+ 9

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Q: Evaluate the improper integral f 5( x – 4)² dx ; if your integral converges state 3 what value it…

A: You have posted multiple questions. As per the instruction, we will be answering only the first one.…

Q: The improper integral dx is o 2/1-x2 convergent to 2 convergent to- 2 convergent to convergent to- 4…

A: Given: I=∫01dx21−x2

Q: 11) Determine whether the following integral is divergent evaluate the integral. or convergent and,…

A: NOTE: Refresh your page if you can't see any equations. . .............(1) substitute  .…

Q: 2. Determine whether the following integral is convergent or divergent. Do not guess! 4 dx x2 – x -…

A: To determine whether the following integral is convergent or divergent.∫04dxx2-x-2

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

A: Given  The integration is ∫3∞1x+13dx .

Q: Determine whether the improper integral converges or diverges. If converges, find the value. In (x*)…

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Q: determine whether the doubly infinite improper integral converges and, if so, evaluate it.Use…

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Q: Use the Comparison Theorem to determine whether the following integral is convergent or divergent. 1…

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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: Use the Comparison Theorem to determine if the following integral converges or diverges. x2 х* — 2

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Q: DDetermine whether the following integral.is convergent ordirergento If the integral Converges,…

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

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

A: The given integral is ∫-∞0dx4x-53.

Q: 38. Determine whether the following improper integral is con- vergent or divergent, and find its…

A: ∫-∞0x3e-x4 dx Consider, ∫x3e-x4 dx Put, x4=t⇒4x3=dtdx⇒x3 dx=dt4 Therefore, ∫x3e-x4 dx=∫e-t…

Q: Determine whether the improper integral is convergent or divergent. 00 19 dx Divergent Convergent 2.

A: Introductionwe know that the improper integral ∫axfxdx can be written by the following…

Q: 1 01 7x +9x

A: We will solve the integral by comparison test.

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

A: Solution is given below:

Q: dx 2. (x-1)% (x- 1)

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Q: 9. Use the Comparison Test to determine whether the following integral is convergent or divergent. 1…

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

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Q: Determine if the following improper integral converges or di- verges. If it converges, find the…

A: As per the guidelines only one question should be solved. Thus repost the second different question…

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: dx x* + 4

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Q: 3. Determine whether the improper integral is convergent or divergent. If it is convergent, evaluate…

A: See the details solution below

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

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Q: 9. Use the Comparison Test to determine whether the following integral is convergent or divergent. 1…

A: Given

Q: Determine whether the improper integral converges or diverges. If converges, find the value. In x?dx

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Q: Ve dx -2 0.

A: If the limit is finite and exist then the integral is convergent .

Q: Evaluate the following improper integrals. Tell whether it is convergent or divergent. 1.

A: The given integral,     ∫1+∞dxx

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

A: Given:          ∫0161x4dx         ......(1) We know that : x4=x14 So, expression (1) becomes…

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

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Q: dx

A: Given: I=∫4∞4x32dx As we know that, The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Use the Comparison Theorem to determine whetherthe integral is convergent or divergent integral 1…

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