Use the Method of Partial Fractions to find ∫ x + 9 x2 − 2x − 3 dx.

Q: Evaluate 3x5 3x4+6x3-3x2 - 6x S= -dx, using method of partial fractions.

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Q: Q2/ Use Partial fraction dx. x(x²+ 1)² to evaluate

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Q: 5x + 2 -(3x + 4)(x – 1)dx using partial fractions.

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Q: 3. Evaluate the following using partial fractions. Show all necessary solutions. x2 + 8x + 4 dx x4 +…

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Q: 4x Evaluate -dx using partial fractions by first finding numbers A and B such that J 2 – 2x – 3 4x A…

A: Consider the integral  ∫4xx2−2x−3dx

Q: 7 dx 5. S 3 xVx-4 2

A: dsec(u)du=tan(u) sec(u) ∫cos(u) du = sin(u)

Q: Using partial fraction decomposition, ſ ·dx is equal to: (x-3)³(2-x)

A: Indefinite Integration

Q: r(3x² x + 8x – 12)d: .3 x' +7x +12x

A: Given:          ∫3x2+8x-12x3+7x2+12xdx Factor the denominator:       =∫3x2+8x-12xx+3x+4dx The form…

Q: 2x2 + 2x + 11 dx J (2x + 3) (x² + 4)

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Q: 2r3 2x3 — 4х? — 15х + 5 9. dx х2 — 2х — 8

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Q: a. Use the long division for solve (x - 7x -5x + 2)+(x-3). b. 30-5х Express as a partial fraction…

A: Follow step 2

Q: i. Use partial fraction to find (1 1 sº(s – 5) -

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Q: 2x + 4 Express as partial fractions (x² + 4)(x – 2) Hence or otherwise, find 2x + 4 dr. (x² + 4)(x –…

A: given

Q: Using decomposition into partial fractions, 4x2 + 2 J x(x² + 2) is equal to

A: We can solve this as follows:

Q: 16 dx (x-1)°(x+1)

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Q: x + C dx x?(x²+2x + 3)

A: Given: To solve the  integration by Partial Fractions

Q: Use partial fractions to find the indefinite integral. 9 – x2 dx 5x3 5x + X

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Q: 8x +15 as 2.x' +3x 8x +15 dx. 2.x +3x 18 Express partial fractions. Hence, evaluate

A: We are solving the first question and for the next question post the question again and also mention…

Q: Solve by partial fraction Sa 1 dx : a > х а2 — х2

A: The given question is related with the evaluation of integral. We have to solve ∫ 1a2 - x2 dx ,…

Q: x2 (x+1)(x²+4)

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Q: (4x2+ 5x4) dx (x+1) (x²– 6x + 34)? By method of partial fraction, the integral - can be evaluated…

A: Partial fraction decomposition

Q: Q#03: Integrate with the help of Partial Fraction: i)∫2x^3+x^2-x-3/x(x-1)(2x+3) dx ii)…

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Q: Integrate the following using Partial Fractions. 1. S a dz r2-3x-4

A: Solving the problem by finding the integration.

Q: dx x2+x+1

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Q: Solve by partial fraction х 2 — 8 J2(x-1) dx 3 х ?(х —

A: Given: ∫x2-8x2x-13

Q: У(у - 9) dy у3 — 216 6.

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Q: O USE PARTIAL FRACTIONS to find (x+4) dx メー4)

A: Let, I=∫x3+4x2−4xdx ⇒I=∫x2-4xx+4+16x+4x2−4xdx ⇒I=∫x+4+16x+4x2−4xdx ⇒I=∫x+4dx+∫16x+4x2−4xdx…

Q: (c) Considering, 4x x² + 9x + 8 (i) Separate it into partial fractions. (ii) Hence, find 4х -dx J x²…

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Q: Use partial fraction to find the integral 3-x 3ペ-ペート

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Q: While evaluating the integral - dx, using the technique of Partial Fractions, the value of 12x + 32…

A: We have, ∫x+1x2-12x+32dx   Basically we are interested in partial fraction of this. Here we can…

Q: use partial fraction to evaluate x + 4 dx J x3 + 3x2 - 10x

A: Let I = ∫x+4x3+3x2−10xdx ⇒I = ∫x+4xx2+3x−10dx ⇒I = ∫x+4xx2+5x-2x−10dx ⇒I = ∫x+4xx(x+5)-2(x+5)dx ⇒I =…

Q: (b) Use partial fractions to find the following integral. 7x + 8 2x2 + 11x + 5

A: As per our guidelines , we are allowed to answer only one question. Since you have asked multiple…

Q: 6x dx 3 – 8

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Q: 17 Use partial fractions to find dx x'+ 2 b. J- dx x(x+2)(x-1)" a. -9 x dx dx c. (x-2)*

A: The given function is, xx-22 Decompose as, xx-22=Ax-2+Bx-22xx-22=x-2A+Bx-22x=x-2A+Bx=xA-2A+B From…

Q: Use the method of partial fraction decomposition to perform the required integration. 6x² +22x-23…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate in two different ways, one of which is partial fractions.

A: Solution:-  The given integral is  I=∫01x1+x4dx we have to Evaluate in two different ways.

Q: Use partial fractions to find the indefinite integral. dx 16xª –

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Q: Q1: Use partial fractions to find the integral -31 +5 dr. I-3

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Q: By method of Integration by Partial Fractions, A B(2x-2) + C [(x³ + 5x²+6) dx ·11 + (x² - 2x + 5)²…

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Q: x + 4 dx (x² + 2)(x² + 1)2

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Q: 17 Use partial fractions to find dx x+ 2 xp- d* a. b. x(x +2)(x-1) x dx (x-2) a dx с.

A: As per our guide lines we need to solve only two questions please repost the other questions as a…

Q: Use partial fractions to find the indefinite integral ∫ 6x /(x3 − 8) dx

A: To evaluate the indefinite integral , ∫6xx3-8dx  using partial fractions. Solution: The given…

Q: 3 - z dz ·J z(z² + 1)' 1.

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

Q: 2x²+3 (교2+1)2

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Q: By method of Integration by Partial Fractions, A B(2x-2) + C (x³+5x²+6)dx (x²–2x+5)² = √ [₁²-2² +…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Give the partial fraction decompo 6x + 9 x2 + x – 2 - Evaluate 6х + 9 dx x² + x – 2

A: we have,  f(x)=6x+9x2+x-2

Q: 17 Use partial fractions to find dx x + 2 b. J- а. x(x+2)(x-1)h xp- r dr dr

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Q: 3. S x+x dx x4-3x2-4

A: The integral is ∫x2+xx4-3x2-4dx. First find the partial fraction of the integrand x2+xx4-3x2-4.…