Determine whether the integrals below converge or not. Do not try to evaluate them. (a) dx 1 d.x 1 (b) -5x (c) dx

Q: determine whether the improper integral converges and, if so, evaluate it.

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Q: determine whether the improper integral converges and, if so, evaluate it.

A: We write the given integral using limit k approaching infinity

Q: determine whether the improper integral converges and, if so, evaluate it.

A: Let us take limit k approaching infinity.

Q: (b) The improper integral sin x dx converges and is equal to 0.

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dx x²+9

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Q: Determine whether the improper integral converges and, if so, evaluate it.

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Q: Determine whether the integral is convergent or divergent. *0⁰e-1/x +² [²² O convergent O divergent…

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Q: Determine whether the improper integral converges. If so, evaluate it. 6 dx (x-5)3/2 5

A: Here we have,

Q: 9. Determine whether the given integral is convergent or divergent: 1 dx? (4-x)5 a. convergent b.…

A: integration

Q: x² - x- 5 dx Vx7 + x3 +2 1

A:

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

A:

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

A:

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

A:

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

Q: What does this integral converge to?

A: First calculate the corresponding indefinite integral

Q: 2x dx Vx² – 1 2 1 8

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

A: In this question we have to find whether the Integral is divergent or convergent.

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

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

A: Topic = Integration

Q: Determine whether the improper integrals converge or diverge. If possible, determine the value of…

A:

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

A: Let's solve given integral.

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

A: Given the integral         ∫-∞192x-32dx. Determine whether the integral is divergent or convergent.

Q: Determine if the integral converges or diverges by comparison.

A: We know that sinx lies between -1 to 1. So, Using this we get:

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

Q: Determine whether the improper integral converges and, if so, evaluate it.

A: ∫1∞dxx20/19

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

A: Solution:-Given ∫6∞e-1/xx2dxPut 1x=u⇒-1x2=dudx⇒-1x2dx=dulimt→∞∫6t-e-udu⇒limt→∞ e-u-16t⇒limt→∞e-1/26t…

Q: Determine whether the improper integral converges and, if so, evaluate it.

A: ∫56dxx-532 On integrating, we get ∫56dxx-532=∫56x-5-32…

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

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. x2 38 9…

A: Consider the given integral, I=∫-∞∞x29+x6dx Calculate the above integral.   Put t for x3 in the…

Q: (x – 4)(x- + 2) dx Explain why Jo To x² is an improper integral and determine whether it is…

A:

Q: Determine whether the integral is convergent or divergent. The integral from negative infinity to 0,…

A:

Q: Determine whether the integral is convergent or divergent. 6. 8 dx x- 1 3 convergent O divergent If…

A: The given integral is: ∫098x - 13dx We have to check that the given integral is convergent or…

Q: Determine if the improper integral converges and, if so, evaluate it. dx | 8+x Write F if the…

A: The improper integral given is- ∫0∞dx8+x To find whether it converges or not . If integral tends to…

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

A:

Q: determine whether the improper integral converges and, if so, evaluate it.

A:

Q: se the Comparison Theorem to determine whether the integral is convergent or divergent. 00 2 + e-X…

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Q: ex Figure out whether the improper integral dx is J_1 (1-e*)2 convergent or divergent. If it…

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Q: determine whether the improper integral converges and, if so, evaluate it.

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

A: Given: The given integral is, I=∫-∞61x2+1dx

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

A:

Q: determine whether the improper integral converges and, if so, evaluate it

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. e-2 3…

A: This is an improper integral because, here ln(0) is not defined, so 0 is not in the domain of this…

Q: Determine whether the integral is convergent or divergent. The integral from 0 to 11, 1/(11-x)^1/3…

A: The given integral is  ∫011 1(11-x)13dx

Q: *n sin²x 48. dx 43–48 Use the Comparison Theorem to determine whether the integral is convergent or…

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Q: Determine whether the integral is convergent or divergent. If the integral is convergent, give the…

A: We use integration by parts after using substitution method

Q: 4 dx x2 + 16

A:

Q: determine whether the improper integral converges and, if so, evaluate it.

A: Write the integrand as exponent of x

Q: 7. Determine whether the integrals below converge or not. Do not try to evaluate them. (a) 1 dx 1 dx…

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Q: Calculate the integral below, if it converges. If it does not converge, enter diverges for your…

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Q: a) Determine if the following integrals are convergent or divergent: sin? (x) x +1 dx dx Vr4 – x -

A:

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.