dx 3 (x-1)3 Select one: O a. diverges O b. converges to 1/16 O c. converges to 1/2 O d. converges to 1/8

Q: 8 T The improper integral 8 e dx 8. O diverges to 0 O converges to 0 O converges to e 8. O converges…

A: Given integral is: I=∫-∞18e-8xdx Integrating it: I=∫-∞18e-8xdxI=8e-8x-8-∞1

Q: -0.5 Q3:Estimate √1 + x4 dx with an error 0.0001 ?

A: Given: f(x)=1+x4 To find: Value of integral ∫00.51+x4dx with an error 0.0001.

Q: The o dx, p > 0 Select one: None of these Converges for p > 1 and diverges for 0 1 and converges…

A:

Q: 1 E(-1)"+1, ( n + 1 ) . 3η n=1

A: To find whether converges or diverges

Q: dx -2 x+2 Select one: O a. converges to -1 O b. diverges to ∞ O c. converges to 1 O d. diverges to…

A: The given integrand is ∫-2-11x+2dx.

Q: cos(nn) n317 n=1 Input C for convergence and D for divergence:

A:

Q: x² + x - 1 dx J, x(x2 – 1) is convergent or divergent.

A: We have to solve the integral and check it is convergent or not

Q: fnd all xeR where -5x (x+) n=2 ナS is Convergent- +5

A: We have to find all x∈ℝ such that the series ∑n=2∞ -5xx+1nx+1n-1+5x+1n+5 is convergent. We know that…

Q: +00 Inn E(-1)" n2 n=2 divergent convergent

A: To solve the following problem

Q: 1002+x dx Then I J = 1 None of these converges to 1 converges to 2 converges to 3 O is divergent

A: Given I = ∫1∞ 2+xx3dx = ∫1∞(2x-3+x-2) dx = 2∫1∞x-3dx + ∫1∞x-2dx2x-2-21∞ + x-1-11∞= -1x21∞+ -1x1∞=…

Q: dx converges and, if so, to what. 49. Determine whether J = | E/1* I-

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Q: dX 2) Show that ? Xe converges/diverges.

A: SOLUTION-

Q: 0o Inx dx Evaluate it and state whether it converges or diverges. x2 d)

A: That's easy. Have a good day!!!

Q: pls. answer the following correctly, and pls provide complete solution. this questions are not…

A: As per guideline we have to solve one question

Q: cos n! + A) diverges B) converges 3628800

A:

Q: 00 2 L 3n + 1 n = 1 dx = 3x + 1 converges O diverges Need Help? Master It

A: We have to check whether given series is convergent or divergent series using integral series test.

Q: cos? x+ 1 xp- By using the direct comparison test, the integral 4 x² - 1/2 O Converges O Converges…

A:

Q: V2+cos (n2+1) Use the basic comparison test to determine whether E1 n=D1 converges or n+en diverges.

A: To check the Convergency of the given series. We apply here Simple comparison Test and Ratio Test of…

Q: The improper integral re-/3) dr converges. What is its value? В. 6 С. 9 D. 12

A:

Q: (x' Log, x dx O For what values of p does al converge?

A: SOLUTION-

Q: 51. For which values of a does eax dx converge?

A:

Q: 12 1 dx using a left-hand sum with n = 3. Estimate

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Q: 6+ cos (7x) Perform a test to determine if x converges. T/ 7 00 5 dx X II

A:

Q: -4 x d.r Determine if the integral converges? 2-9

A:

Q: The dx, p > 0 Select one: O None of these Convergent for all p O Converges for p > 1 and diverges…

A: We have to find the desired range of values of p according to the convergence of the integral.

Q: 10. Determine whether the given dx convergent or convergent? a. converges to o Page. b. diverges to…

A:

Q: M(-1)+ cos?n n= 1 Select one: a. converges absolutely b. converges conditionally C. NOTA d.…

A:

Q: Find 2x dx. (if it converges)

A: Idea: use substitution method to integrate  then we get undefined value  so integral is not convert

Q: dx -x 2-x Select one: O a. diverges to -x O b. diverges to x C. converges to -In(6) O d. converges…

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Q: [ 1+2x)e*dx is convergent

A:

Q: 4. Which comparison would show that dx converges? x + e*

A: According to the given information, it is required to tell which comparison would show that the…

Q: 8 csc(x) dx 7/2 O convergent O divergent If it is convergent, evaluate it. (If the quantity…

A: Converges and diverges of series

Q: ( 3y², 0<y< 1, f(y) = 0, elsewhere. y that Y converges in probability to some constant and find the…

A: *Answer:

Q: +o0 Зп? — 4 >Un where sn = u1 + u2 + · · · + Un 3n2 + 4 n=1 convergent O divergent

A: The given series is  ∑n=1∞un, where sn=u1+u2+⋯+un=3n2-43n2+4. We also, know the theorem that a…

Q: d 23 a Show that dx :(-{e-*(sin x + cos x) ) = e¬* sin x. N. 00 b Find e* sin x dx, and show that…

A:

Q: 0o COS 17. Determine whether 2 converges or diverges. Evaluate it if is convergent. dx 18. Determine…

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Q: x° +4 Perform a test to determine if dx converges. X' x° +4 Does -dx converge or diverge? O Diverge…

A: An improper integral is a type of integration that determines the area between a curve.

Q: dx too - can you deduce about Vx* +2x+6 ct one: a. it is convergent b. converges to 1 c. diverges d.…

A: The given integral

Q: Cos 720 n! + A) diverges B) converges

A: if sum of series is finite then series is convergent. so we need to find sum of the series. note…

Q: Vnt+3 n=0 O diverges O converges

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: o Inx 2. For p>1, is S, dx convergent? 1 xP

A: It is the improper integral of first kind , limit of integration is infinity. There is so many test,…

Q: -4 After evaluation, Jo dx tends to be 0 x2-9 A. convergent B. divergent C. insurgent D. allegiant

A:

Q: 00 dx O a. converges to 2 O b. diverges to od O C. converges to 1 O d. converges to -3 O e.…

A:

Q: 11 dx Determine whether is convergent or not. (3 – x)2/3

A: As the value of Integral is finite, it converges.

Q: e ( + 4)2 dx = Evaluate the integral if it converges. Enter the exact answer, or enter na if it…

A:

Q: Q2)For what value(s) of k does the integral converge : -o kx 1 x²+1 dx 2x Then evaluate the…

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Q: 2x – x3 1. Evaluate dx. (x – 1)² (x² + 1) 2. Use the previous item to determine if the improper…

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Q: -dx converges ex - e- Select one: O True O False

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Q: dx is equal to The correct value of A. 2 B. Since the integral converges to 23, none of the given…

A: