Express the integrand as a sum of partial fractions and then evaluate the integral. 5x? dp- Express the integrand as a sum of partial fractions. 5x? 4 x* (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Q: 9ェ3- 3エ+1 13- 12

A: Given integration is                                                ∫9x3-3x+1x3-x2dx we will convert…

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ dx/(x2 - 1)2

A: Using partial sum we get:

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: Express the integrand as a sum of partial fractions and evaluate the integral. 2s +2 (s² + 1) (s –…

A: SOLUTION-

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Q: Evaluate the following integral. dx V25x2 - 36 dx 25x2 - 36

A: Given integral is This integral can not be evaluated by using partial fractions. We evaluate the…

Q: 1 dw. w+2/1-w+2

A: Indefinite Integration

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ y dy/ y2 - 2y - 3

A: First, we factor the denominator Then we use the partial decomposition

Q: 150 dx Express the integrand as a sum of partial fractions and evaluate the integral. 3- 25x

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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

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A: Find the integral using partial fraction

Q: x + 68 Evaluate dr, by expressing the integrand as the sum of the partial fractions. I Tz – 7)(x+9)…

A: Given that, ∫x+68(x-7)(x+9)dx f(x)=x+68(x-7)(x+9)

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

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Q: Use partial fractions to evaluate the integral 81/(( x^2)(x−9)) dx.

A: Explained below

Q: form long division on the integrand, write the proper fraction as a sum of partial fractions, and…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 6x2 +2x +7 dp- x3 - 1…

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Q: m: Consider ozyz. Find all the first order partial denvatio

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Q: Evaluate the integral by algebraio substitution then partial fractions: * 1 dw. w + 2/1 – w +2

A:

Q: 3x – 1 -dx (x – 2)(x + 5)

A: First we find out partial fraction decomposition and then solve it.

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: Integrate∫3y4+12y2−1y3+4ydy

Q: perform long division on the integrand, write theproper fraction as a sum of partial fractions, and…

A: Given, ∫2y4y3-y2+y-1dy Now we apply the polynomial division :   y3-y2+y-12y+22y4…

Q: Use partial fractions to find the exact value of the following integral 31² +3 23 + 3x

A: First do partial fraction then do integration

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. - 5x? xp- x4 - 1…

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Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+7 xp- 2x° - 8x

A:

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. 4x2 xp- x* - 1

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the…

A: Given, Evaluate ∫5x2+x+36x3+9xdx

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Q: 190r3 — 91г? — 219т — 76 dr = 45r2 – 68r – 96

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Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ x + 4/x2 + 5x - 6…

A: the given integral is: ∫x+4x2+5x-6dx we have to express the integrand as a sum of partial fractions…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 7x? + 3x+ 8 dp- x'- 1…

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Q: Rewrite the integrand as the sum of partial fractions. x+3 2x -8x Evaluate the integrals. x+3 !! .3…

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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: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: To solve the following integral

Q: Use the method of partial fractions to evaluate each of the following integral. – 2)

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Q: perform long division on the integrand, write theproper fraction as a sum of partial fractions, and…

A: Given:                     ∫y4+y2-1y3+ydy   Performing long division:…

Q: 4x3 + 4x2 – 2x + 4 (x² + 1)?

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Q: For Exercise, set up the form for the partial fraction decomposition. Do not solve for A, B, C, and…

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Q: 8 tdt Express the integrand as a sum of partial fraction and evaluate the integral / t2 – 2t – 3 O…

A: We will solve this intigral by partial fraction,

Q: 6. (a) + 1'

A: We have to find out

Q: I + 90 Evaluate dr, by expressing the integrand as the sum of the partial fractions. J (z – 11)(x+…

A: Answer

Q: 2x²+3 (교2+1)2

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Q: Use the method of partial fractions to evaluate each of the following integral. Show your work!

A: To find the integration by using partial fractions

Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the…

A: Given:           ∫3x+17x2+9x+20dx     Applying partial fraction, we get:         3x+17(x+4)(x+5) =…

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A:

Q: 6x2 – 3x dr. J (x – 2) (x + 4)

A: Since the degree of the numerator is equal to the degree of the denominator, we need to first…

Q: Express the integrand as a sum of partial fractions and evaluate the integrals ∫ 1/ x^3/2-√x dx…

A: Given:∫dxx3/2-x1/2

Q: Set up the following integral using partial fractions after showing the long division, then…

A: topic -integration

Q: x3 Evaluate the integral by first performing long division on the integrand and then writing the…

A: The integral is ∫x3x2+8x+16dx By using the long division x3x2+8x+16=(x-8)+48x+128x2+8x+16 The…