16 9. Evaluate the integral 4 dx.

Q: Evaluate the integral. dx (х — 12)(х — 15)

A:

Q: 10. Evaluate the integral. dx x²/4 – x²

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Q: 1. Evaluate the integral dx Jo x2 + 4x + 20

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Q: 7. Evaluate the Integral S (x + 3) dx

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Q: 3 2 dx . 3

A:

Q: Consider the following integral: (³ In(2x) dx.

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Q: 3. Evaluate the integral Sx cosx dx.

A: Please see the below picture for detailed solution.

Q: 7/2 2. Is cot x dx an improper integral? Explain.

A: Given integral is not an improper integral.

Q: 4. .2 + 2x) cos(2x) dx

A:

Q: Evaluate the integral : S 8г2 +10х—6 (х—1) (х+1)2 dx = |

A: The given integral is ∫8x2+10x-6x-1x+12dx.

Q: 1 (b) Evaluate the integral S ; dx 2x2-12x+26

A: To evaluate: The integral of . Formula used: Integration Formula:

Q: 9. Evaluate the integral J 4x2+9 1 dx

A: We can solve the integral as below.

Q: dr

A: Given integration is : ∫x2-9x3dx To find the value of integration.

Q: 1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.

A:

Q: 3. Evaluate the following integral 5x+1 -dx (x-4)(x+2)?

A: Use the partial fraction method 5x+1x-4x+22=Ax-4+Bx+2+Cx+225x+1=Ax+22+Bx-4x+2+Cx-4 Put x=4 21=36A…

Q: (c.) Evaluate the integral [xV2x +1 dx ?

A:

Q: 3. Evaluate the following improper integral; -2 2 dx x² – 1

A:

Q: 14. Evaluate the integral 2 Jo dx 2x + 3x + 1

A: ∫0122x2+3x+1dx Factor the denominator  ∫012 (2x+1)(x+1)dx Now apply partial fractions   2…

Q: Evaluate the integral.

A:

Q: 19. Evaluate the integral Z √(x^2 − 9) / x^3 dx

A: firstly divide the numerator by denominator part by part to simplify the integration

Q: 2. a) Evalute the following improper integrals 6. dx 3 3

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

Q: 4х+2 Evaluate the integral -dx. (Hint: Use Algebra to help further rewrite your (x² +1)(x=1)…

A: First break by using partial fraction then integrate

Q: Evaluate the integral. х3 — 5х — 8 dx x2 — х — 6 -

A:

Q: 12. Find the integral of S (x². √(x² + ² =) dx

A:

Q: Evaluate the integral.

A:

Q: Evaluate the integral (2х — 8)dx х2 — 6х + 18

A: We know that integration power rule is - Integration of xn is xn+1/n+1+ C  Here C is integration…

Q: dx 4 3

A:

Q: In 8) * dx Integrate and evaluate the following

A: we have to integrate the following

Q: Evaluate the integral. 4 3* dx /3

A:

Q: 2. Find the indefinite integral (Scos(4x) + √x dx

A:

Q: 6. Use symmetry to evaluate the following integral. (6x* - 5) dx

A: Given: -

Q: Evaluate the integral 4х + 5 dx. 3 - x2

A: To find the integral

Q: 8) Evaluate the Integral x2 + 2x dx

A:

Q: 4. Evaluate the improper integral. dx х2 — 1

A: Consider the given integral as Solving the integral

Q: 57 Evaluate the integral |[xy dy dx. 12

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Q: 5) The Integral dx

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Q: 2 Evaluate the integral: 3x(5-3x dx

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Q: 27 e integral dx be transformed into one of

A: By using a trigonometric substitution x=3secθ where, 0≤θ≤π2. The integral ∫27x3x2-9dx can be…

Q: Evaluate the integral. . 4 1) x In 2x dx 1

A:

Q: 6. Evaluate the integral dx (4x2 + 1)(x² + 4)

A:

Q: (2х+ 3)dx (3х + 2) 3

A: We have to evaluate ∫-1302x+33x+2dx. Let substitute t=3x+2 Differentiate with respect to x,…

Q: 1 S dx xVx*-9

A: Given integral is:∫1xx4-9.dx

Q: Evaluate the following integral. Question 16 dx 7- Vx 9.

A:

Q: Evaluate the integral

A: Given: ∫00.6x29-25x2dx

Q: Evaluate the improper integral s dx -2 (2+1)4/3

A: Given: To evaluate ∫-201(x+1)43dx

Q: 7. Evaluate the integral x4 6x5 1 dx

A:

Q: Evaluate the integral. 10 r FIL √16 22 1 (x² + y²) 1/2 dy dx dz =

A: To evaluate the integral ∫04∫-44∫-16-x216-x21(x2+y2)12dydxdz

Q: 23: Evaluate the integral of ſ (5y+7) 5 dy

A:

Q: Evaluate the integral. „ 3X + 7 e ~×) dx , 3× + 7 e ~×) dx =

A:

Q: 2. Integral A e3A dA

A: