Let n be a positive integer, and a and b two positive real numbers. 1 Use a substitution to evaluate the integral dx. a+ bxn Your answer should be in terms of a, b, x and n, but should not include an integral sign.

Q: Suppose we make the substitution u=6+x in the indefinite integral - dx What is the 6+ x4 resulting…

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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: 33–36. Completing the square Evaluate the following integrals. dx 33. Jx² – 2x + 10 34. dx x? + 4x +…

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

Q: Evaluate integral I60 e2x-3/ex dx I is the integral sign 6 is upper bound and 0 lower bound.

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Q: Evaluate the definite integrals. 7/4 a) z tan(x?) dx b) [ 5a*e dx

A: (a) ∫0π/4xtanx2dx Let, u=x2 The derivative of the above equation. dx=du2x The lower limit is, a=02=0…

Q: C) Evaluate the definite integral: | (5x – e²) dz

A: Given definite integral is: ∫-535x-exdx

Q: We use the Substitution Method to evaluate the given indefinite integral. The substitution u = x + 2…

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Q: |(x+3)°(x+b)d dx is In 3x2 +8x– 12 The resulting integral of + C, where a, b, d, and e are integers.…

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Q: b) The number t can be evaluated by the following integral. V1-x2 dx = Tt

A: Given:4∫011-x2dx=π

Q: Consider how we can evaluate this integral using u-substitution: - dx. (3z+1)ª If we let u = 3x + 1,…

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Q: Employ the method of substitution to calculate J a(a* - 1)2 de = - 194 + K.

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Q: 3x2 dr by substitution, if u =x³+1 then what will be the resulting indefinite integral in terms of u…

A: Solved below

Q: 5 If g(1) = 4, g(5) = -7, and | g(x) dx = -8, evaluate the integral ag (x) dr. Answer:

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Q: 00 cb The value of the binary integral is o Se-xy dxdy (where a,b is positive real constants)

A: Let I is the value of given Integral.

Q: dr: Consider the indefinite integral (x4 + 9)* This can be transformed into a basic integral by…

A: Here by using substitution we have to find following integral,

Q: 1. Kgothatso showed her classmates that dx%3D (x- 1) Without showing Kgothatso how you would…

A: 1.AgreeGiven Integral can be evaluated with the formula :∫yndy =yn+1n+1here y =x-1 , n=-23

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: (a) Evaluate the integral 40 dx. x2 + 4 Your answer should be in the form kr, where k is an integer.…

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

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

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Q: dx What is the result of integral ? le xln³x A) B) o C) D) – o

A: Use the substitution for Lnx=v

Q: Suppose we make the substitution u=2+x in the indefinite integral da. What is the resulting…

A: Given Data: Integrand: ∫x42+x5dx Substitution: u=2+x5 ......1 Use derivative to obtained another…

Q: farctan(6y) dy: Consider the integral 1+ 36y2 This can be transformed into a basic integral by…

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Q: If 14 f(x)dæ = f(a)de + "{(=)da - f(2)da, what are the bounds of integration for the first integral?…

A: Solved below

Q: a. Use a computer algebra system to evaluate the following integrals. i. xe" da i. x² e" dx ii. iv.…

A: As per our guideline, we are supposed to Answer  only the first three subparts , to get remaining…

Q: Which of the following integrals is equal to the integral f(3x-5) dr? (A B) 3 7/3 © I s(:) dz 7/3

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Q: Consider how we can evaluate this integral using u-substitution: x S dx. √2x+1 If we let u = 2x+1,…

A: This question can be solved by integration by substitution.

Q: B)Evaluate the integrals: i) √1-x2-x²-y² ii) -² ²-²-² dz dy dx. xe dy dx.

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Q: following integrals 3 a) Evaluate IT2-4xy+4y² dxdy=? 0, 0.

A: Given that the double integral To find evaluate the double integral

Q: Computer algebra systems sometimes need a helping handfrom human beings. Try to evaluate integral  (…

A: To evaluate∫1+lnx1+xlnx2dx  ........1

Q: S- S- °S- S For x 1/2 x- U U 1-u4 4u dx and using the substitution -du -du -du 4u √4-(24²) 2 -du…

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Q: (a) Evaluate the following indefinite integrals: (i) 10 (ii) fx³ Vx-1 dx 2 -Vy - 3 Vy 4

A: Evaluate:

Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = f(u) du where g(x) = u, to evaluate the…

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Q: Evaluate the double integral.   ⌠⌠5xy2 dA,    D is enclosed by x = 0 and x =4 − y2  ⌡ ⌡D

A: To evaluate the integral ∫∫D5xy2dA first we have to consider the figure of the region enclosed…

Q: ‹S- A S Ⓡ /- © /- S- D For dx and using the substitution = x1/2, the resulting integral takes the…

A: Just use the substitution and find the required integral. Option (B) is correct.

Q: 4-x dx In evaluating /x by substitution, if u=4- x then what will be the resulting indefinite…

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Q: Evaluate the integral. dx a > 0 (a² x3,3/2' Need Help? Watch It Read It

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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: Evaluate the given definite integral using appropriate substitution:8 8e2 dr -4e4 + 4 ... 4e4 – 4…

A: We have to solve the problem

Q: Assume that A, B, and C are positive coefficients. Symbolab.com solves this integral using…

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

A: This question is based on indefinite integral.

Q: Use substitution method to find the indefinite integral: ∫3x^2/(4+x^3)^6 dx. Answer in this form:…

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Q: 5 x Evaluate the improper integral: dx lo V4- x2 a) O20 b) O10 c) 05 d) Odiverges e)O15

A: Given the integral ∫025x4-x2dx.we need to evaluate the given interval.

Q: Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de -…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: 3x2 dx by substitution, if u=x³+1 then what will be the resulting indefinite integral im In…

A: We will solve the following integration.

Q: (ii) Find the following indefinite integrals: 1 (a) dx (b) dx 5 - x* xe* ! dx (c)

A: A)I=∫ 1x3+1x3 dxI=∫ x-3 dx + ∫ x-13 dxI=x-3+1-3+1 +x-13+1-13+1 +CI=-12x2+3 x232 +CI=32x23 -12x2+C

Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

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

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Q: 3x2 dr by substitution, if U =x³+ 1 then what will be the resulting indefinite integral in terms of…

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Q: 3x2 dr by substitution, if 4 =x³+1 then what will be the resulting indefinite integral in terms of u…

A: Using Substitution,