Solve the integral. x4 – 2x3 + 2x² – 6x – 9 3. x(x² + 3)2

Q: Find the integral. 7*+ 14x (x+1)e

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Q: -x + 2 dx . x2 + 2x ate the integral

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Q: The particular integral of the difference equation Yn+3 - 6yn+2 + 12Yn+18Yn = 3n is

A: We have to find Particular Solution of given difference equation yn+3 - 6yn+2  +12yn+1 - 8yn  = 3n.

Q: Solve the integral: A B D 3√√√x² +C 6√x +C + C 6 √x 3 3√x dx

A: We have to solve integral

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

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Q: 3z - 3r+2 dr. (x-1)(x2 +1) Evahuate the integral

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Q: B. Solve the following integrals. 2.) fevdxdy

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Q: Evaluate the integral |(2x + 6) (2² + 6x + 6)°dx by making the substitution u = x² + 6x + 6. + C…

A: Indefinite Integration

Q: dx 1. S (x²+1)(x²-4)²

A: Use partial fraction to solve it.

Q: Find the integral. X. dx 6 6 7 A. -x 7 1 O 2x2 7 OB. – 2x-2 +c .3 Oc. C. - 3x -2 +c

A: The explanation of answer as follows

Q: y²+2y Jo /y3+3y²+4

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Q: Evaluate the integral.

A: To Evaluate: ∫0∞1e7x+e-7xdx Concept: ∫a∞fxdx=limt→∞∫atfxdx

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: The value of the definite integral [²3x²dx 3x² dx is Select one: 3 26 1 26 26 none of the others 26…

A: Solution is given below:

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: Can I get steps on how to solve this problem.

A: Given, The integral  ∫x4+3x2x2-1dx  We have to evaluate the integral.

Q: Solve the integral. x2 – 4x + 1 4. J (x2 – 2x + 10)²

A: Given: ∫x2-4x+1(x2-2x+10)2dx Take partial fraction…

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

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Q: Find the integral. |(2x3 - 3x2 + x – 1) dx A x² + B 6x2 - 6x + 1 + C (c) None of the above x2 - x +…

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Q: 1. S xdx x²+6x+13

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

A: Given:        ∫5xx3+x2+4x+4dx Apply linearity:     =5∫xx3+x2+4x+4dx Factor the denominator:…

Q: PART I. Evaluate the following integrals. Show all the necessary solutions. 2x³ 1. f ²x² +5x²-4dx

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

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

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Q: x²dx Evaluate the integral x6 +1 O A. 12 O B. 6 OC. 2 D. 3 O E. 4

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Q: 3. Evaluate the definite integral. -2 Sx*Vx? + 4dx

A: Solution of integeration given below...

Q: [ 3x3-2х2-4х-3 х2 (х2+x+1)

A: Given integral is ∫3x3-2x2-4x-3x2x2+x+1dx. To evaluate the integral use partial fraction.

Q: Find the integral 17T dx 2+18 1 는시17x + 18+c 17 1 18x - 18 +c b.

A: Solve by substitution integration method

Q: Solve the integral: A B C D 6√√x +C 3√x² + C 6 33³√/ x² +C √√√x 37 ကြ 3√x dx

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Q: Find the integral. [6+xx4-x2) dx O a 5 +C 20x- b. 20 -x* -c +C 20x O d 20x LEGO

A: Integration problem.....

Q: Solve the integral: A √√x 3 B 3√√x² +C √x² + C 6 D 6√√x +C اسے I dx

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Q: 3 a- 4 x + 4x² + 2 da Calculate the integral: x2 (x - 1),

A: Given,           ∫3x4-4x3+4x2+2x2x-1dx

Q: 4-15 2-4x+15 Find the Integral

A: We need to find the integral ∫4x-15x2-4x+15dx. So,               ∫4x-15x2-4x+15dx=∫4x-15x-22+11dxLet…

Q: dx Evaluate the integral: 3/2 64 – (9z)*|

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Q: 7 For the integral 3xVx + 6dx, if we use the substitution u = x + 6, we can rewrite the integral in…

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Q: 5. S (2x²-3x+10)dx (x²+4)²

A: I have stated the used formulas in the solution

Q: 3. Solve the following integrals: a) f(5x+2)³¹dx

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Q: x² + 2x + 1 dr- (x² + 1)² Falculate the integral

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Q: |(5r' +4)² – 7dt find the integral using which ever method you think is best 15.

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Q: =iven √x³√4-x² dx. If we letz= √√4-x², which of the following integrals is correct using…

A: We have to substitute z=√(4-x^2)

Q: Find the complete integrals of the equations (i) px - 4q°x² + 6x²z=2 =0

A: As per our guidelines we can answer only first question. If you want another question kindly repost…

Q: Solve the separable equation using the integral factor  2xy + 6x + (x²-4)y¹ = 0

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Q: 82y-3v° (y² – y) dy

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Q: 7x Evaluate the integral -d.x. (x2 + 1)(2x – 2)

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Q: 10. Evaluate the integral. 1+ x 1+ x2

A: I am going to evaluate the given integral breaking the given expression in to two parts then…

Q: | Væ – 2 dæ 2

A: Given: I=∫26x−2dx

Q: Evaluate the integral. *3 7 39+x² dx

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Q: 40 (a) Evaluate the integral: da x2 + 4 0. 2)

A: "As per our guidlines we are supposed to answer only one question. Kindly repost other question as…

Q: 6x Evaluate the indefinite integral. x4 + 1 + C

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Q: Evaluating the improper integral ze2 dz 80 gives the answer A) 3/4 B) -3/4 C) 1/4 D) -1/4 E) 2/3

A: The integral is to be integrated from minus infinity to 0. Since it is a definite integral, there…

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

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.