Activity 2: Use partial fractions to compute each integral. Must work the integrals out by hand and show all steps. 12 10 a) S 10 X-5x xp- х-5 b) S x*(х-1) xp-

Q: Activity 2: Answer the following integrals using the Integration by Partial Fractions 2. 1. dx = dr

A: Given:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. x+6 - dx x2 + 2x O 3…

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Q: Evaluate the following integral using partial fractions: 1 (x² + 1)(x² + 4)

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Q: C. Expand g(x) as a 6x + 1 6x+1 15. Express in partial fractions, hence prove that , dx = In 10 (2x…

A: See the attachment

Q: Зх+11 dx, J? -x-6 x* — х — 6 2

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Q: 3. Solve the following integral by partial fractions. (b) 2x2 + x J 2x² + 5x – 3

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Q: Use the Table of Integrals to evaluate the integral. xdx S 2 x - 10x Select the correct answer. X -…

A: We have to find integration of given question.

Q: Consider and C. -dx Using the method of partial fractions, the given integral can be written as…

A: Here, 3x53x4+6x3-3x2-6x=x-m+Ax-1+Bx+1+Cx+mor, x4x3+2x2-x-2=x-m+Ax-1+Bx+1+Cx+mor,…

Q: Evaluate the integral using Partial Fraction Decomposition. to +7t5+15t* + 32t3 + 23t² + 25t - 3 dt…

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Q: Which is NOT included in evaluating the integral? (Use partial fraction decomposition method.) 4 2x…

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Q: 9. Evaluate the integral by using partial fractions decomposition. 7 dx x3 – 8x + 23x

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Q: 9. Evaluate the integral by using partial fractions decomposition. 7 dx x3 – 8x² + 23x

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Q: ) Calculate the indefinite integral using Partial Fraction Decomposition. X Sax- dx (x-2)(x + 1)2²…

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Q: Evaluate each of the following integrals using partial fraction decomposition. Show your complete…

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Q: Consider the following indefinite integral. ∫(10x^3+5x^2+5x+3)/(x^4+1x^2) dx The integrand has…

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Q: -10x – 64 dx -10 x2 + 3x –

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Q: s 32x² (x-15) (x+5)² dx I

A: Integral

Q: 133 3. Evaluate the integralji[x (x²: +y° +:? käxciycz . 00 4. Evaluate the integral by using…

A: Given integral  ∫01∫03∫03xzx2z+y2+z2 dxdydz

Q: Use partial fractions to find the indefinite integral. 4x – 2 rp: J 3(r – 1)*"

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Q: (2x3+9)dx 2. S (x2+3)(x²-2x+3)

A: Given that

Q: Evaluate the following integral. 169 dx 3 x° - 13x Find the partial fraction decomposition of the…

A: Given problem:-

Q: Consider the following indefinite integral. 9x3 + 5x2 + 36х + 27 dx x4 + 9x2 The integrand has…

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Q: 8. Evaluate the improper integral using the partial fraction decomposition. x(x2 + 1)2

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Q: 1. Evaluate the followmg integrals 5x2-14x+6 x3-3x2 a) xp b) (cos-esmode

A: We have to find the given indefinite integration

Q: 4. Use partial fraction, step by step, to evaluate integral f 4x5-2 dxp. х4—1

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Q: 8.7.1. Use partial fractions to evaluate the integral dr r(1-r2) that arises in Example 8.7.1, and…

A: We will find out the required value.

Q: (5х +4) Evaluate the integral by using partial fraction method f (x+3)³

A: we have to integrate the given function by partial fraction method. the sollution is following

Q: In general, a partial fractions integral with a repeated irreducible quadratic factor will result in…

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Q: Consider √(x-m S 3x5 3x4+6x3-3x2 - 6x A B C + + x-1 x+1 x+m + -dx. Using the method of partial…

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Q: Evaluate the following integral. 32x2 dx (x-21)(x+7)² Find the partial fraction decomposition of the…

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Q: Use Partial Fraction Decomposition to evaluate the following integrals.

A: To find the integration by partial fraction

Q: Activity 2: Use partial fractions to compute each integral. Must work the integrals out by hand and…

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Q: Consider s √(x- x-m+ 06 05 O 17/6 14/3 3x5 3x4+6x3-3x2 - 6x A B C + + x-1 x+1 x+m dx Using the…

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Q: Apply u- substitution and the partial fraction decomposition to evaluate the integral In(x² + x + 1)…

A: Given

Q: Evaluate the integral. ' 4y² – 6y – 12 - dy Ji y(y + 2)(y – 3)

A: GIVEN: Perform partial fraction decomposition:

Q: Evaluate the integral (Partial Fraction Decompo! X + 4 J (x2 + 2)(x² + 1):

A: Evaluate indefinite integral.

Q: x³ + 2x2 + 3x - 2 dx (x – 1)(x² + 2)²

A: The function is ∫x3+2x2+3x-2x-1x2+22dx.

Q: (b) Express the integrands as a sum of partial fractions and evaluate the integral de -x*-6x (a)…

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Q: х* — 5х3 +6х? —18 dx, x' – 3x?

A: First divide and then integrate

Q: x² -1 dx x3+x

A: To find the integral

Q: Consider 12-1 S= x-m+ 3x5 3x4+6x33x2 - 6x A B C + x-1 x + 1 x+m (A) 14/3 (B) 17/6 C) 5 6 —+ -dx.…

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Q: 6. Evaluate the integral by partial fractions decomposition. 3x3 + 1 dx x3 - x2 +x - 1

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Q: Solve the following integral by using partial fraction decomposition. - 3x³ – 2x – 2 (x+1)x

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Q: Compute the given integral. Using Partial Fraction Method 9х-21 dx = x2-4x-5

A: To solve the given Integral using partial fraction  ∫ (9x -21)/ (x2- 4x -5) dx

Q: 4x4 + 1 dx J 2x3 + x2 – x

A: Given integral is: I=∫4x4+12x3+x2-xdx Integrating it by using partial fraction decomposition:…

Q: Consider the indefinite integral 723+8x2 +45x + 36 dx x4 + 9x2 Then the integrand has partial…

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Q: 9. (a) Express 2 x4 – x² as partial fractions. (b) Hence, compute the exact value of the following…

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Q: Consider ·S= √(x-m+ A₁ 17/6 14/3 3x5 3x4+6x33x² - 6x с B -+ x+1 x + m -dx Using the method of…

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Q: (5x2-3х+18)ӑх 9x-x3

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Q: 5x° + 8x2 + 48x + 96 x4 + 16x? Then the integrand has partial fractions decomposition Consider the…

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