4. Use the comparison property to calculate if the following integral converge: sin? x =dx.

Q: In the given equation as follows , determine whether the improper integral diverges or converges.…

A: Integration properties and methods help to find the required value. The substitution method for the…

Q: O: If the improper integral converges,Show and find its valuo or ex plain why it diverges: O. X Sin…

A: The integral will converge if it is equal to some finite fixed value.

Q: dx (In x)³ dx \(* + 3):" 1 dx Vx(Vx + 1)

A:

Q: Evaluate the following improper integrals to determine if they converge or diverge. integral…

A: Note: As per our company guidelines we are supposed to answer the three sub-parts of the question.…

Q: Given √ 1 pdx.c A (-∞,1] B (1,00⁰) Ⓒ (-∞0,00) D (0,1) dx, determine all value/values of P for which…

A: This can be solved as follows:

Q: Find the values of p for which each integral converges. 2 dx ix а. x(In x}? 1 b. x(In x) 2 2 dx a.…

A: To find the value of p for which the given integrals converges, we integrate both the integrals and…

Q: determine whether the improper integral converges and, if so, evaluate it.

A: Let us take limit k approaching infinity.

Q: (b) The improper integral sin x dx converges and is equal to 0.

A:

Q: 1 dx, \x| < 3 (a) -x? – 2x+8 In x dx (b) Jx

A:

Q: Starting with the given fact that the type 1 improper integral dx converges to p-1 1 when p>1, use…

A: Value of type-II improper integral

Q: For what value of a, b > 0 is the following integral convergent. dx . x*(1+x*) a + b 1 O a, b>1

A:

Q: Determine whether or not the infinite series below converges.

A:

Q: Investigate whether the following integral converges 8, Sin x dx

A: This question is related to improper integral.

Q: Evaluate the following Improper Integral. Does the limit converge? Why or why not? 1 dx xIn x

A:

Q: Does the following integral converge or diverge? Justify your answer. 112 dx Vx*+13

A:

Q: dy 1- y}

A: Given query is to find the value of the integral.

Q: Evaluate the following improper integrals by finding where the integral converges to or if it…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Evaluate the following integral if it converges: 1 dx

A:

Q: 星() ()y点r

A: We will use the bounded convergence method to show that the given integral is convergent.

Q: sin (x), dx b) J∞ 4+x²

A: Given improper integral: ∫-∞∞sinx4+x2dx Let x2=4tan2θ         x=2tanθdx=2sec2θdθ Substituting these…

Q: 12. Determine the value of the following and classify if the integral is convergent or divergent. dx…

A:

Q: Calculate the following improper integral and determine whether this integral converges ce b>0

A:

Q: Determine if each of the following improper integrals converge or diverge. If it converges, to what?…

A:

Q: t e dr (1 – e")2

A:

Q: In the given equation as follows , determine whether the improper integral diverges or converges.…

A: Given definite integral is: ∫027x-2dx We have to determine whether the above integral converges or…

Q: 4. Use the comparison property to calculate if the following integral converge: sin? a dx. V1+x3

A:

Q: 4. Use the comparison property to calculate if the following integral converge: sin? x dx. | 1+

A:

Q: (c) How large do we have to choose n so that the approximations T, and M, to the integral are…

A:

Q: 14. Determine the value of the following and classify if the integral is convergent or divergent.…

A:

Q: | sin(e') dt

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Q: Use technology to approximate the given integrals with M = 10, 100, 1,000, ... Then decide whether…

A:

Q: For what value of a, b > 0 is the following integral convergent. dx . x°(1+x³)

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Q: The correct value of dx is equal to 3-x O A. Since the integral converges to 2/3, none of the given…

A:

Q: Which of the following integrals converge? If they converge, evaluate them. (a) | x log(a) dx, (b)…

A:

Q: 34) Which of the following improper integrals converge? roo 1 -dx x In(x) a) 1 æ(In(x))?dx cos(x) c)…

A: We are only allowed to solve one question at a time and up to three sub-parts. So, we will answer…

Q: Find the values of p for which each integral converges 2 dx а. x(In x}P 1 b. x(In x) 2 2 dx a. For…

A: (a) Given : ∫12dxx(lnx)p

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

A: Given

Q: For what values of is the following integral convergent 1 to infinity 1 / xp  dx

A:

Q: Use the appropriate limits to determine if the following improper integrals converge or diverge. If…

A: since u have asked multiple question in one task so we will be answering only first question.

Q: Use technology to approximate the given integrals with M = 10, 100, 1,000, ... Then decide whether…

A:

Q: 1 dx : x2+25

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Q: x dx 6 – zx 01 converges ? Determine if the integral

A:

Q: Each of the following definite integrals are improper. Determine which converge and which diverge.…

A: We have to evaluate the improper integrals ∫0∞ 11+x2 dx ∫02 x4-x2 dx ∫1∞ ln(x)x dx

Q: (a) (c) (ә) 1 TE X TG) 0 0 dx dy (+1) ӨР

A:

Q: Determine whether each improper integral below converges or diverges. a dx 2. S 0 Vax

A:

Q: Find the value of P which the integral Converges, absolotely Condition ally. Cosx dx

A: Given: ∫1∞cosxxpdxthis integral  converges,absolutely conditionally.

Q: Which of the following improper integrals converge? Justify your answers. I e* sin(e") dz 1. sin()…

A: 1. The given integral is ∫0∞ ex sinex dx. This implies that, ∫0∞ ex sinex dx=∫0∞  sinex…

Q: dx o (x–1)? 2.

A:

Q: a) Determine if the following integrals are convergent or divergent: sin? (x) x +1 dx dx Vr4 – x -

A: