Evaluate the improper integral or show that it diverges. dx (9x-12)3 Select the correct choice below and fll in any answer boxes within your choice. O A. dx (9x-12)3 B. The integral diverges.

Q: 12. What value of b> - 1 maximizes the integral? b A nolh | x-(1-x)dx Simplify-1 following…

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Q: 53. Use the substitution u = x + 1 to evaluate the integral I dr.

A: Differentiate u with respect to x,  du= 4x3 dx du/4x3= dx

Q: Homework: Determine the indefinite integrals for the followi A. (2)Sx*dx (b) fx* dx B. (a)S dx (b)S…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: x²-x-8 /hat is the indefinite integral of dx ? (2х — 3 )(x? + 2x +

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Q: Evaluate the integral. HINT [See Example 2.] (x² + 8) dx 4

A: Evaluate the integral

Q: Evaluate the integral. d.x NOTE: Enter the frullu simplified ansuner with no fractions 2/21der the…

A: To evaluate the given integral.

Q: What is the value of the double integral (2 [Hint: Use change of variables in an appropriate way.]…

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Q: 1 Consider the integral dx, where c is a positive constant. cx /In(x) 1 Is this integral an improper…

A: We need to evaluate integral.

Q: Which of the following values of makes the following integral improper? k- 1 k29 ks9 Give a reason…

A: We have to solve given:

Q: Find the formula for the function represented by the integral. (Use symbolic notation and fractions…

A: Please refer the attached image for complete solution.THANK YOU.

Q: 66. Evaluate the integrals In x - dx. dx x? b. dx a. c. d. What pattern do you see? Predict the…

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Q: a) Evaluate the following define integral by using the properties of Beta and Gamma function .2 e

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Q: 66. Evaluate the integrals In x dx In x dx. a. b. с. d. What pattern do you see? Predict the formula…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluating the improper integral gives the answer A) 3/4 B) -3/4 C) 1/4 D) -1/4 E) 2/3 F) -2/3

A: The integral can be solved by by-parts rule. The order of preference is according to ILATE. Here…

Q: Hi, I was wondering how to do this and what the work would look like. thank you!

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Q: ate the integral. (If the quantit 8. dx (x2 + 4)2

A: The given integral,                ∫-∞∞xx2+42dx

Q: Evaluate the following integral or state that it diverges. - 5x dx 15 e Select the correct choice…

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Q: Evaluate the integral I = x³ e dx. Hint: If you need to evaluate f ea dx, don't! Try a slightly…

A: To find:-

Q: Evaluate the integral. HINT [See Example 2.] (x – 6) dx

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Q: 9. Evaluate the integrals. b. Sintian dr

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Q: evaluate the integral 5 ∫ - 8 (5 is top of integral, - 8 is bottom) e ^ -0.02x dx

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Q: Jse the symmetry of the function to simplify/evaluate the integral, 3. (2+ |x|5) dx. -3

A: Please refer to the image below.

Q: 33) 2xе3x dx - 00 14 A) - 3 B). C) 9 D) diverges

A: The given function has a unique limit, so it is not divergent.

Q: Evaluate the improper integral or state that it diverges. Ĵ 5dx Select the correct choice below and,…

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Q: -5 1 7. a) For what value of a is the integralJ, dx improper? Explain. а х+2

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Q: Question dx Using an appropriate substitution, the integral f is equal to: (x+1) (x+1)2-4

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Q: Evaluate the integral(mx+b)/(x-p)(x-q) In the integral m,b,p,q are constants and p is not equal to…

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Q: 2x-1 dx is an improper integral 2-5x+6 Select one: O True O False

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Q: x² Va?-x²dx let write the integral by using Beta function 3 3 .a O 2'2 a (5 3 2'2 .b O a4 1 5 B 2 .c…

A: let x=asinu  differentiating x= asinu dx=acosudu when  x=0, u =0 x=a,u=π2 therefore, the given…

Q: 4 -dx |1-x* 2

A: The given problem is to evaluate the given definite integral with given limits of integration.

Q: Evaluate the improper integral if it exists e'dx: -0- e .2 O -e.3 O The improper integral diverges 4…

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

Q: (a) Evaluate the following integrals: x² + x – 7 dx x² – x – 6 (i)

A: Given :   ∫x2+x-7x2-x-6dx

Q: Q: evaluate the follawing integrals n-1 dx

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Q: Evaluate the improper integral or state that it diverges. 1 dx - 0 Select the correct choice below…

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Q: Evaluate the integral Select the correct answer. ( x + 6 In ( e* - 1 ) + C ○ 4x-31n (e*-1) + C 6x…

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Q: a+3 Use Ar = 0.5 and a left-hand sum to estimate xe* dx.

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Q: ー2X 2 e Evaluate the integral 4え |

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Q: Determine the integral by making an appropriate substitution. Sx-17 dx O 1 X). (x- O_ 1 + C 16(x -…

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Q: Evaluate the integral. HINT [See Example 2.] 8e* dx 1

A: We have to find the value of given the definite integral

Q: Q3: Evaluate the integral of f +Ty sdy

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Q: Q/ Evaluate the integrals :- 1 + Z

A: This question is based on indefinite integral.

Q: Evaluate the definite integrals a. help (numbers) b. 6e dx

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Q: /9-z he following integral is the integral , S

A: The  integral in cartesian coordinates is given by ∫-33∫-9-x29-x2∫09-x2-y2zx2+y2+z2dzdydx.

Q: dx Q3 a. Evaluate the integral X - x

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Q: IE < (b - a)3 12n2 -[max |f"(x)|], a < x s b Trapezoidal Rule |El s (b - a)5 180n4 [max |f(4)(x)|],…

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Q: Evaluate the integral if it exists. dx Select the correct answer. 1 1) x- 2 lnx-+ C 2) 2- Inx+ C 3)…

A: We use identity  (a-b)2= a2+b2-2ab in numerator of integral

Q: 2 58 n lim dx !! (n+1)? j=1 and the value of the integral is

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Q: 3 Evaluate the integral: J3 a(x-3) dx Answer:

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Q: Which of the following values of makes the following integral improper? k = 1 k29 ks9 Give a reason…

A: We have to solve given problem: Note: There is a mistake in given integral, first I will show you…

Q: Evaluate the integral /2 I = dx. Hint: If you need to evaluate ſe² dx, don't! Try a slightly…

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