4 -dx JI(x + 6)

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: Evaluate the integral if it converges or show that it diverges: integral 1 to 9 1/(√x−3)dx.

A: Given that : 1/(√x - 3)  evaluate the integral between 1 to 9. And also check it is converges or…

Q: Find the indefinite integral. (Use C for the constant of integration.) V tan(8x) sec?(8x) dx

A: We will use the substitution, tan(8x) = u³ and proceed as follows :

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

A:

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answe dx = (x +…

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Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

A:

Q: Solve the definite/improper integral, tell if it converges or diverges. 1. e-st cosh t dt

A:

Q: In the given equation/s as follows , explain why the integral is improper and determine whether it…

A: Definition of the improper integration helps to find the type of integration. A definite…

Q: Find out if the improper integral converges or diverges. If the given converges, find its value.…

A: Solution

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

A: ∫1∞lnxx2dx

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

A:

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

A: If f is continuous on the interval [a,b) and has an infinite discontinuity at b then…

Q: Use correct notation to evaluate the improper integral and determine if it converges and diverges.…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) tan( 2 dx sec 20 20

A:

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

A: ∫0510xdx

Q: fy' In' ydy

A:

Q: Approximate the integral from pi to 0 of 5sinx dx using four equal subintervals.

A: Given:Approximate the integral into four subintervals.

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

A: Given, ∫1∞1x4dx

Q: 34 1 dx (x – 2)3

A:

Q: Evaluate the improper integral if it converges. (If the quantity diverges, enter DIVERGES.) -1 8 dx…

A:

Q: Determine, with justification, whether the integral below converges or diverges. dx x15-|sin a|…

A:

Q: Compute the value of the following improper integral. If it converges, enter its value. Enter…

A: The given integral is: I=∫2∞dx(2x-2)2 Substitute 2x-2=u⇒2dx=du⇒dx=du2As x→2⇒u→2as x→∞⇒u→∞ Therefore,…

Q: 4.) xe dx

A: Consider the following integral: I=∫xexdx Use integration by parts ∫fg'=fg-∫f'g: f=x→f'=1 g'=ex→g=ex…

Q: Use correct notation to evaluate the improper integral and determine if it converges and diverges. 7…

A: To Evaluate: Concept:

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer.

A:

Q: Find the indefinite integral using the substitution x = 6 sec(o). (Use C for the constar…

A:

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate…

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: Evaluate the integral if it converges. Enter the exact answer, or enter na if it diverges. +00 -dx =…

A: Let I is the value of given Integral.

Q: In the given equation/s as follows , explain why the integral is improper and determine whether it…

A: The given integral is ∫02 1x-12 dx. Note that the function fx=1x-12 is unbounded on 0, 2. Because…

Q: Calculate the improper integral if it converges, or show that it diverges. 3x4 dx 5 – 1 -

A:

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

A:

Q: 5 tan x dx sec x

A:

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

A: ∫351x2-9dx

Q: Evaluate the improper integral if it converges, or else show that it diverges. 16 dx

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

Q: Determine whether the improper integral converges or diverges, and if it converges, find its value.…

A:

Q: Determine if the improper integral In (x²) dx converges or diverges. If it converges, find its valu

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: Evaluate the improper integral. If the integral converges, enter what the integral converges to. If…

A:

Q: Compute the value of the following improper integral, if it converges. (If it diverges, enter oo if…

A:

Q: luate the integral if it converges and he integral diverges, indicate that us dx x2 The integ

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Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A:

Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it…

A: Given:          ∫0161x4dx         ......(1) We know that : x4=x14 So, expression (1) becomes…

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

A:

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

A: Here we have to check the convergence of integral.

Q: 2.) xe" dx

A: Given improper integrals is  convergent. Explanation is given below

Q: Determine if the improper integral converges or diverges. If it converges, find its value. In dx

A: Here we have to integrate the given problem.

Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

A:

Q: Use a comparison test to determine whether the integral converges or diverges. 00 sin (10x) 22 + e*…

A:

Q: Evaluate the improper integral (if it converges) or else show that it diverges. 00 dx (2² + 5)*

A: