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

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Q: et Determine if the improper integral dx converges or diverges. (1 - e)2 If it converges, find its…

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

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Q: 1 (a) Use the Integral Test to show that > converges. 2. n' +1 d 1 n = 0 -1 tan dx Hint: 1+x?

A: As per our guidelines, we are supposed to solve only one question.  Kindly post other questions  as…

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Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(x)…

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Q: Determine whether the improper integral x²e=x*dx converges and, if so, evaluate it. 8.

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Q: 30. Determine if the integral dx is convergent or divergent c. Neither a. Convergent b. Divergent d.…

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

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Q: Perform a test to determine if it converge or diverge -1 x 2sin 1 dx 1– x -1

A: The function is given by: ∫-112sin-1x1-xdx If the function fx=2sin-1x1-x is positive, continuous and…

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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…

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A: First one is true second is false.

Q: Determine whether

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

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A: So, we will solve this integral using by-parts formula Integral I = ∫-10ln(z2) dz We can write this…

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

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A: Given : Improper integral ∫-∞∞2xx2+22dx To find : Check whether given integral converges or not.…

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

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

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Q: 2+cosx 1. Use the comparison Theorem to determine whether dx is convergent or divergent

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

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

A: Solution:- solve the integral

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

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

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

A: To find the following problem

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…

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Q: n=1 3" 2n2 M.

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

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A: We have to check

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A: Comparison test :  Suppose for x>a  . If converges then also converges . If diverges then…

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

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