1+e* dx diverges 0.

Q: csc²(, V#) .2 -dx 0,

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Q: e dx (1– e*)2

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Q: Comparison Test Determine whether the following integrals converge or diverge.

A: We have given the integral;

Q: 3 _dx a. 3 1 V:

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Q: The integral dx ? x (In x )1.9 If the integral converges, enter the value below. If the integral…

A:

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

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Q: The integral dx converges. v If the integral converges, enter the value of the integral in the blank…

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Q: e 1

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Q: a) For what value of a is the integralf dx improper? Explain. x+2 b) Does this improper integral…

A: we have

Q: The integral I = 1 + dx is [Hint: You may need to use the Mean Value Theorem for Derivatives] O…

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

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Q: 8 sin? a 00 i. x2 + 5 xp-

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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: dx Jx +x²

A: Please see the below picture for detailed solution.

Q: The integral dx converges for p ? and diverges for p ? (x - 3)P If the integral converges, enter its…

A: Explanation of the answer is as follows

Q: t e dr (1 – e")2

A:

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: termine whether the integral given below converges or diverges. dx -x

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Q: S(2- sec?r) elnale sec'x sec( 3A – x) What should be the value of A for - dx to be integrable using…

A: The given question has been solved in detail and option C is the correct answer.

Q: The integral dx converges for p ? and diverges for p ? (x - 3)P If the integral converges, enter its…

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Q: sec?x dx 1- tan x b. Determine whether the integral converges or diverges.

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Q: Which of these improper integrals is convergent? e dz 1 eda e*dx 3 -dr 3 -dr 3 8 8

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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: . Determine whether I = dx converges or diverges. If it converges, find its value. %3D r5/2

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Q: Q2- i) Evaluate the following integrate 3 dx 1+sinx

A: Since there are multiple question , we solve the first one . Post the other question again. ∫31+sin…

Q: Use the Integral Comparison Test to show that dx diverges by comparing with the integral Vr +1 1 dx;…

A: Integral comparison test:  Let fx and gx are continuous function for x≥a and fx≥gx≥0 for every x≥a.…

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

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Q: Decide whether or not the given integral converges. 2x dx The integral converges. The integral…

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Q: dx e sin x dx 1 dx x2 + 4 -00

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Q: Q2 Show that the region included between the cardioids r=a (1+ cos 0) r = a (1- cos 0) is given by:…

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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: V2x + sin? r Determine whether the improper integral da converges or diverges. Show all your steps.…

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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: 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: Evaluate this Improper integral: dx (a) Does it converge or diverge? (b) If it converges, to what…

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Q: x² + e-3 dx

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Q: evaluate the improper integral / 1 dx. Does it converge x(In x)2 diverge? Justify your claim.

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Q: dx Evaluate 1 using Simpson's – rule. 3

A: Simpson 1/3 rule is not applicable here.

Q: Evaluate this Improper integral: X eX dx (a) Does it converge or diverge? (b) If it converges, to…

A: If integration value is finite then it is convergent.

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

A:

Q: Selected values of f (x) are shown in the table below. What is the right 15 Riemann sum…

A: Right riemann sum of the integral in 4 subinterval from 2 to 15. f(x) and table is given.

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

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Q: Evaluate the integral. If the integral is not convergent, answer "divergent." e 1+e2x

A: ∫0∞ex1+e2xdx Consider, ∫ex1+e2xdx=∫ex1+ex2dx Now put, ex=t⇒ex=dtdx⇒ex dx=dt

Q: (a) Explain why | dr is divergent. (b) Find all value(s) of t > 0 for which the integral / 1 dx is…

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Q: 1 - dx X-e* 3

A: By using the comparison test, we have to determine whether the following integral is convergent or…

Q: Evaluate this Improper integral: x e-X dx (a) Does it converge or diverge? (b) If it converges, to…

A: Let I is the value of given Integral.