dx VA - 1 4

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: Consider the function f(x)=1/x Show that the interval of convergence is (0, 2).

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Q: use integration., the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

A: Given : Integral ∫01lnxx2dx

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

A: Given integral  ∫2∞ x2-1x6-64 dx

Q: The integrals converge. Evaluate the integrals without using tables

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Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent. 8. x + 1 32…

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Q: The integrals converge. Evaluate the integrals without using tables

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Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

A: Given Data The integration is .   Let,

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

A: We have: Consider Hence,  By direct comparison test

Q: Find the radius and interval of convergence (Зх — 2)" Vn4. 2n - n=1

A: ∑n=1∞(-1)n(3x-2)nn43.2n

Q: xp- xdx (16) -1+x°

A: To determine the value of integral.

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: Determine whether the integral is convergent or divergent. -бр e dp convergent divergent If it is…

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

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Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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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: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for…

A: Given: Let us consider the given, ∫-∞∞dxx8+7 To check for convergence, use integration, the Direct…

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

A: We have ex > 2x => ex-2x >0 Hence Thus, is convergent Hence, by direct comparison test,…

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: The integrals converge. Evaluate the integrals without using tables

A: Consider the given integral: I=∫-∞22x2+4dx Here, the objective is to find the value of I.

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: х Zn=0 п! x2n Ση-0

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Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

A: To check the convergence, we use Limit Comparison test, According to which for any undefined…

Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for…

A: Given :     ∫012136-x2dx

Q: 2x Check whether the improper integral / -dx converges (x²+2)² or not.

A: Given : Improper integral ∫-∞∞2xx2+22dx To find : Check whether given integral converges or not.…

Q: The integrals converge. Evaluate the integrals without using tables

A: The given integral is ∫2∞2v2-vdv. We can re-write the given integral as ∫2∞2v21-1vdv Let, 1-1v→u…

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

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Q: The integrals converge. Evaluate the integrals without using tables

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

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Q: The integrals converge. Evaluate the integrals without using tables

A: Given that: The improper integral is ∫-∞0 θeθ d θ .

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for…

A: To determine whether the below integral converges or diverges. ∫4∞dxx4+8

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

A: As (Ln 1) = 0, the function is undefined at 1. Thus split the integral as, Now, let's find integral…

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: The integrals converge. Evaluate the integrals without using tables

A: Evaluate: ∫-11 dxx23

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

A: We have given an integral;

Q: The integrals converge. Evaluate the integrals without using tables

A: The integrals converge. Evaluate the integrals without using tables

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

A: Given data is: ∫01lnxx2dx

Q: Use the integral test to determine if E0n2e converges or diverge 3

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Q: 15 //dx Sº

A: Topic:- application of integration

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

A: To evaluate: ∫0π2tan θ dθ For that, first of all, find ∫tan θ dθ

Q: use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integrals for…

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Q: 1+sinx dr dx 8. Use the Comparison Test to test for convergence.

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