1 ·dx (х + 1)2 -2

Q: Ex. (3) f(x)=xcos.x, < 28)

A:

Q: 1 dx (x + 1)2 -2

A: We have to determine whether  ∫-2o{1/(x+1)2 }dx  is convergent or divergent.  Let I =  ∫-2o{1/(x+1)2…

Q: Expand f(x) =5xas a half-range Fourier sine series in the range 0 < x<T, and sketch the function…

A: See the attachment

Q: Determine if +∞o 5 dx √x-1 is convergent or divergent.

A: Solve the improper integral then using expansion at infinity solve limit

Q: 6. Determine whether each of the following integrals converges. If so, find its value. (a) x In(x)…

A: Given, ∫1∞xln(x)dx

Q: 00 Determine whether the improper integral ²+37+1 e dx converges or diverges. Show all your steps.

A: Since there is infinity in the upper bound, this is improper integral of type 1.   To evaluate an…

Q: 1 -dx xln*x 1.

A: To determine if the following is a convergent or divergent. ∫e∞1xln4xdx Solution: A indefinite…

Q: Show that if a&gt;-1 and b&gt;a+1 , then the followingintegral is convergent.

A:

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

A:

Q: 1 dx is convergent True 8

A: Solution is given as below:

Q: 一Tく*<0 f(x): (x-1, u+1,

A:

Q: 1/x e 7 dx y3 -1

A:

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

A:

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A:

Q: Determine if  ∫3-2(1/x^3)dx  is convergent or divergent.

A:

Q: QUESTION 2 Evaluate cach of the following integrals and determine whether the integral is convergent…

A:

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

A:

Q: Determine whether

A: Solution: Consider the given integral equation: J = ∫-11dxx1/3 Since the given integrand is defined…

Q: Determine whether the following integral converges or diverges. -dx x6+4x5+15x3+2x²+14

A:

Q: 1 d.x x In (ex)

A:

Q: 1. Evaluate the following Improper Integral. Does the limit converge? Why or why not? [Apply the…

A: According to our guidelines we can only provide solution of one problem at a time, therefore i have…

Q: +00 4+ cos n 3n - Vn n=1

A: To find the given series be convergent or divergent .

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

A:

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

A:

Q: Determine if H conver or diverges. Evaluate i it ges converges dx 3

A: We have to find convergence and divergence of integral .Integral is shown as below:

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: Question 8 Determine whether the improper integral converges or diverges. 5. A Converges B Diverges

A:

Q: 1. Determine if the infinite integral is convergent or divergent r+oo dx |x² + 2 -00

A:

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

A:

Q: 6. S o Inx dx Evaluate it and state whether it converges or diverges. 1 х2

A: Given: I=∫0∞lnxx2dx

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

A: To show that whether the given integral is convergent for p&gt;1.

Q: For what values of p does the integral dx is convergent ( p > 0 ).

A: Here we have to find the value of p for which ∫1∞1xpdx is convergent.

Q: The following improper integral dx Vx2-1 diverges to +o converges to V15 This option O This option…

A:

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: IV. Determine if the given is convergent or divergent. 1. dx (x2 + 1)² 1

A:

Q: 1 dx xln* (ex)

A:

Q: dx and state whether it converges or diverges.

A: Given that a infinite integration and we find it is converges or diverses. We know that Converse…

Q: 1 [3] b) Determine whether dx converges or diverges. Justify your answer 1+x?

A: According to the question, we have to determine whether ∫0∞11+x2 dx converges or diverges. If the…

Q: Q1// Expand f(x) = sin(x + n) , 0<x<; in a half range sine series

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: Show that for every 0 <p <1 the integral sin dr is both improper and convergent.

A:

Q: Question 10 Determine whether the improper integral converges or diverges. dx 10 -9 A Diverges B)…

A:

Q: 6. Determine whether each of the following integrals converges. If so, find its value. (a) x In(x)…

A:

Q: +00 1 dx xln*(ex) 4 e

A:

Q: Perform a test to determine if dx converges or diverges. - 0o Vx° +6

A:

Q: 8. of is g integerl the following For which values Convergent? dx

A: We need to find the values of a, b&gt;0 is the following integral convergent.…

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

A: