55. Show that dx J+4 converges by comparing with x³ + xdx. -3 dx. х

Q: The integral Jo x°dx converges when a < 0 True False

A: Given integral is ∫0∞xαdx with α≤0 we check the value of integral for α≤0

Q: allsweCI -5e" dx converges 4x to

A:

Q: The improper integral dx is 0 21-x- O none 5 T convergent to convergent to

A: In this question we have to find the value of improper integral

Q: 1 dx is convergent True False

A: Definite integration

Q: (b) Find the value of the improper integral dx with infinite interval of integration, if they…

A:

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

A: If f(x)≥g(x)≥0 on the interval [a,∞) then, If ∫a∞f(x)dx converges then so does∫a∞g(x)dx. If…

Q: Determine whether the improper integral converges or diverges. dx 1/3 -3 O Converges Diverges

A: Given query is to find integral converges or diverges.

Q: Determine if the improper integral el/x dx x2 converges or diverges. If it converges, find its…

A:

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: ctoo The improper integral I' dx converges for p<-1. True False

A:

Q: 2 . Does the following integral converge or diverge dx x² -1

A: if a function is continuous on the interval (a,b] and not continuous at x=a then,…

Q: Decide whether or not the given integral converges.   +∞ 4 x1.5 dx   1

A:

Q: Is the integral [_(0) ^(5) x/(x² − 16) dx convergent? If so, what does it converge to?

A:

Q: dx Determine if the following integral converges x2 – 4x +3

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Q: prove that \int_3^(\infty ) e^(-3x)dx  converges to (1)/(3e^(9))

A:

Q: [7*xdx b) Determine whether the following improper integral converges or diverges. 00 |Ve dx

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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: Q1 Determine if the following integral converges or diverges : 1 ¡ -dx . (2x-1)³ -00

A:

Q: Evaluate the improper integral f 5( x – 4)² dx ; if your integral converges state 3 what value it…

A: You have posted multiple questions. As per the instruction, we will be answering only the first one.…

Q: 2. Determine whether the following integral is convergent or divergent. Do not guess! 4 dx x2 – x -…

A: To determine whether the following integral is convergent or divergent.∫04dxx2-x-2

Q: 5) Determine whether the following integral is convergent or divergent: dx 9 + x² 0.

A:

Q: Evaluate the integrals that converge 32 1 dx 2 ㅇ x5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 59. Show that 1- sin x dx converges. x? 00

A:

Q: Use the previous item to determine if the improper integr 2x – x3 | dx (х — 1)2(г2 + 1) converges or…

A: Given that ∫-∞02x-x3x-12x2+1dxSolution…

Q: dx 4. Determine if the integral converges or diverges. (x – 2)

A: In this question we have determine the integral converges or diverges

Q: 3( Determine whether or not the improper integral is convergent, and find its exact value if it is…

A:

Q: Find the value of integral that converges.

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: 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: Determine whether integral 0 to pie /2 sec x dx    converges or diverges

A:

Q: 6. The improper integral 1 dx converges to х -5 попe 2 1 4

A: We have to find

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

A:

Q: 00 . does Srea dx converge? Jx te3x

A:

Q: dx Determine if the following integral converges V3 – 2x -

A:

Q: 3 9x Determine if the improper integral | dx converges or diverges. If it (²-9) converges evaluate…

A: Solution:- solve the integral

Q: dX Show that Xe* converges/diverges.

A: Given : an  = 1 / x e(x)^2

Q: Check whether the improper integral 2x dx converges or not. (12+1)

A: Thanks for the question :)And your upvote will be really appreciable ;) It converges

Q: a. Evaluate the integral and state if it converges or diverges ∞∫0 ex / (1+e2x)

A: ∫0∞ex1+e2xdx=let u=ex    du=exdxif x=0   then u=e0=1if x=∞ then u=∞…

Q: Determine whether the improper integral -z²+3x+1dx converges or diverges. Show all your steps. e

A:

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

A:

Q: In x Determine whether the improper integral dx converges or diverges. If it converges, find its…

A: To find the following problem

Q: The improper integral | 1 (x+2)6 dx is converges to 5 3 converges to 5 Diverges O None converges to…

A: We have to solve

Q: (4) Decide if the following improper integrals are convergent or divergent. If it is convergent,…

A: Solving for the convergence of given integrals.

Q: III. Determine if the given improper integral is convergent or divergent. 34 dx (x – 2)4/5

A: topic ,- improper integral it is convergent

Q: Determine whether the improper integral converges or diverges. 00 dx 3x +1

A:

Q: The integral 1 dx is convergent x1.10 Select one: True False

A: We have to check

Q: Evaluate the improper integral and state whether it converges or diverges.

A: Definite integral convergence

Q: 8. Determine if the improper integral is convergent 00 -3x dx 6 e xp,

A: Given integral is   ∫0∞6e-3xdx Then  ∫0∞6e-3xdx = 6∫0∞e-3xdx = 6e-3x-30∞=-2e-∞-e0=-2(0-1)=2 ⇒…

Q: 10. Determine whether the improper integral J. e cos x dx converges or diverges. If it converges,…

A: Given function :∫0∞e-xcosx dx Rewriting it as limt→∞∫0te-xcosx dx