x3 dx ] x4 – 4x² + 13

Q: Vx² – 25 | The result of the integral in 6 , given dx is 5 tan 6– 50 +C

A: ∫1x2+a2dx  = 1atan-1xa +C According to our guidelines we are supposed to answer only the first…

Q: 15-30 Evaluate the integral and check your answer by dif- ferentiating. 15. x(1 +x') dx 16. (2+y dy…

A: 15.Let the given integral be y - y = ∫x1+x3dxy = ∫x+x4dxy = ∫xdx+∫x4dxy = x1+11+1+x4+14+1+Cy =…

Q: 2r2 + 2x + 11 dz J (2r + 3)(22 + 4)

A:

Q: 4- 2x Evaluate the following integral : dx 2x +4,

A: The answer is π/3.

Q: 7-38 Evaluate the integral. 7. X - 1 dx 5x + 1 9. dx (2x + 1)(x – 1) 11 dr

A:

Q: dx 1. S (x²+1)(x²-4)²

A: Use partial fraction to solve it.

Q: Solve z2 = 1+ p² + q² . Ans. Complete integral is cosh-(z) = (a. 1

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 1.5 – 4.5x10 -dx. | Evaluate the integral

A: Consider the following integral:

Q: 3. Evaluate the integral. (a) -2/3 dx

A: Evaluate the integral

Q: 1. Use the Fundamental theorem of Calculus 1 to evaluate the integrals. Please give exact answers.…

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Q: Evaluate: 2 1 dx x7 The integral is divergent.

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Q: 3- I = xp- (x² + 1)²(x² + 2x + 2) Solve this integral by using Rezidue Therom. 8.

A:

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

A:

Q: Calculate the definite integrals (a) I₁ =¹7 (2x − 1)(x + 2) dx - 18 (b) I₂ =2₂¹8 (x + 2)(√√x - 2) dx

A:

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. 9 17 1+ x2 dx V1- x2 +C

A:

Q: 56. Solve the integral of (x + 2y)dxdy with respect to x from x=y and x = y^2 and with respect to y…

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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: 24. ( (x² + 1)e*dx

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Q: dz Evaluate the integral 22 Iz-1=2 2i

A: Cauchy integral formula

Q: 6x -dx. Evaluate the integral (72 + 1)( 2· x – 2)

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Q: 11. Obtain the integral of (5x-1)³ dx from x = 0 to x=1 25 A. 51 5 C. 51 4 B. D. 4 51 20

A: Topic = Integration Correct option = B

Q: √√√√3²-1 For the integral X What is the re-write of this integral? -dx, let z= x² - 1.

A:

Q: 0 3. Evaluate the definite integrals: (a) CS Scanned with CamScanner² (x² – 3x) dx (b) 5 1 √I -d.x

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Q: Let n be a positive integer, and a and b two positive real numbers. 1 Use a substitution to evaluate…

A: Given: ∫xn-1a+bxndx

Q: Evaluate the indefinite integral. (- 23е* + 3)е* -dx J (9e" – 7)(7e* + 2)

A:

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: 2. Evaluate the indefinite integrals. (a) fx² - 2e*dx (b) Evaluate (3-4x)¹5 dx

A: We have to evaluate the indefinite integral

Q: 4x3 + 3x? - 16 dæ 12x Consider the indefinite integral / x2 Then the integrand decomposes into the…

A:

Q: Зx2 — 4х — 9 A + х — 2 Evaluate the integral J x³ – 2x² – 9x + 18 dx using + х — 3 x + 3

A:

Q: 1) Consider the indefinite integral  ∫ X5/(x6-4)6 dx  This can be transformed into a basic…

A:

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

A:

Q: 3x3-7x+1 dx # 2) Evaluate the integral X-2

A: As you have asked to solve #2) we will solve only #2).The given integral:∫3x3-7x2+1x-2dxWe will…

Q: 9x -dx. Evaluate the integral J (x² + 1)(2x – 2)

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Q: 2. Evaluate the integral : 6+x-5x dx x3

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

A:

Q: dx S x2 ( 4. x²+x+1)

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Q: a)!^ 1. Evaluate the integral 4x - 1 (x + 2)(2x − 1) dx. - la

A: As these questions are not interrelated, these are considered as different questions. As per our…

Q: The sum 5 -1 f(x) dx + f(x) dx – f(x) dx can be written as a single integral in the form f(x) dx…

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Q: 3 2e + 4 sin x a.

A:

Q: x3+10 x3-2x²+5x f are integers. What is the value of b? X-e The resulting integral of J dx is ax + b…

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Q: -1 х2 Using substitution method, evaluate the integral Jo dx 0 x3+1

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Q: 3 1 dx :-1 Evaluate the improper integral: X -

A: ∫031x-1dxlet u = x-1dudx = 1→ du = dx= ∫031udu= ln(u)03

Q: 5x |(x²+ a) The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers. What…

A:

Q: 8x dx Evaluate the given integral: J 1x2-5

A: Recall: ∫1ax+bdx=1alnax+b +C; where 'C' is an integration constant.

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

A:

Q: dx Evaluate the improper integral (x-3)2

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

Q: xP-1 7. Find the relation between p and q that makes integralS dx con- 1+ x9 vergent. A) p=q B) q>P…

A:

Q: 4tan -(x) 00 The integral dr is equal to 1+x² O A. 472. O B. 272. Oc. 2 O D. . E. None of the given…

A: