п! 1. Find lim via a Riemann Integral.

Q: Find the indefinite integral.

A: Given: I=∫5t+63dt  ……1

Q: Evaluate the improper integral 2x dx, if it exists. (x² + 81)2

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Q: D O O O 59 2 04 Question 16 Evaluate lim N-00 12 01 3|2 • Σ [()* - (-)] ++ N by using it as a…

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Q: Match the integrals from negative infinity to time twith their corresponding functions that are zero…

A: Given graph of the functions 1. 2.

Q: Find the indefinite integral. est dt = +C.

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Q: D O O 01 Evaluate lim N-00 O 12 Question 18 4 3/2 59 2 Σ [³ ( - )* - ( - )] + N by using it as a…

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Q: Express lim E=1 Ax ||PI0 as a definite integral where P is a partition of [0,2]. k%3D1

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Q: Evaluate the integral. In 2 2 e sinh 0 d0 - In 10

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Q: Evaluate the indefinite integral. asin (a)cos(2)dz: + C %3D

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Q: dx

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Q: Consider , xe* dx. What will be the appropriate solution and answer to this improper integral? lim,-…

A: Given definite integral is ∫−∞1xe−x2dx

Q: Evaluate the integral: Jo Sí(3xyY+ 5) dy dx Answer:

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Q: Express lim,00 E= cos( + ) in integral notation. i=1 _2n

A: Since, the above equation is given in the form of Riemann's integral, which is given by-…

Q: dx Evaluate the improper integral if it exists

A: The solution is given as follows

Q: Sy² e2y dy

A: We need to evaluate the following integral ∫y2e2ydy

Q: Evaluate the integral / f(x) dx, where -1 -{ if – 1 < x < 0 if 0 < x < 1 -X - f(x) = 1-VT - x²

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Q: 1. Write the following improper integral as a limit. x-3x In(x)-1 dx x (x-1)

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Q: メT 2. 5+x of

A: The given integral is; 1/(5+x2).

Q: What is the integral of sin^5 x dx if the lower limit is O and the upper limit is T/2?

A: We have to find out

Q: Express the quantity 3 k n lim n→00 n n k=1 as a definite integral.

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Q: Express lim as a definite integral, f(x)dx. n 0 n i=1

A: Explained below

Q: 'SC x x x

A: ∫cot2(x)csc3(x) dxWe know that cot2(x)=csc2(x)-1=∫csc3(x)(csc2(x)-1)dx=∫(csc5(x)-csc3(x))dxWe know…

Q: what is the integral of e^(-(x^1/2))? Please show steps as there is a rule within that I am unaware…

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Q: Find the indefinite integral dt t4 + 4

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Q: Show that for every 0 < p < 1 the integral 1 1 sin – dx xP is both improper and convergent.

A: Answer

Q: Compute integral below with the use of substitution. eð 1 -dx x In° x

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Q: Evaluate the integral.

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Q: Evaluate the indefinite integral: ∫e3t−4 dt

A: Solution:Given      let     I=∫e3t-4dtFormula:∫exdx=ex+C

Q: Find the indefinite integral

A: Given: ∫t1-t4dt

Q: Suppose S3x – 12 12 — За if 0 < x < 4, - f(x) = if 4 < x < 8. | Evaluate the definite integral by…

A: Solution is given as below:

Q: lim , E C [2,4| 1/2

A: The solution are next step

Q: fx ax dx

A:

Q: 1- Find the integral of: A 2 cot - de 3 T7/2 А-

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Q: Find the indefinite integral

A: Given: ∫tt4+25dt

Q: Evaluate the indefinite integral. dt (t +7) + C

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Q: Find the integral m tan -x X 1+x?

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Q: Find the indefinite integral.

A: Given : ∫tan2tt2dt

Q: Q5. Apply the mean value theorem for integrals to evaluate e Lim -dx. 2 + CoS x

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Q: In( S int) dt b) lim = ? %3D Sinx -1 エー 2

A: Here we will apply D- hospital rule and the leibntz rule.  Ans= 0

Q: Question 5 5. Use the fact that +C to either evaluate the improper integral dz, or show that it…

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Q: Find the indefinite integral z(3 +z) dz.

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Q: Evaluate the following integral using the Fundamental Theorem. x-1 dx

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Which of the following is not an improper integral? # of th al

A: We know that, An improper integral is a definite integral that has either or both limits infinite or…

Q: Use the Fundamental Theorem to evaluate the definite integral exactly. c2 1 dx 1

A: NOTE: Refresh your page if you can't see any equations. .

Q: t3 et" dt

A: Given, ∫t3e-t4dt We have to evaluate the indefinite integral.

Q: nonth. Set up a definite integral to

A: Introduction: The marginal revenue function is the total revenue function's derivative, r(x). To…

Q: Find the integral m tan -x X .2 1+x?

A: To find the given Integral.

Q: What is the definite integral of "(4) / (x^4 - 81) dx " from bounds 5 to 10.

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Q: - 322 - 4x - 5 Set up but do not evaluate the integral to find the length of the arc of the curve y…

A: Given query is to find the integral form arc length.

Q: In x dx

A: To Solve for the integral