Use the method of partial fractions to evaluate the following integral. dx x* - 10x +9 in 13-지 + bln|1 + 지 -n13 + 지 +C 0-bin|1-지+ In 13-지 + bln|1 +지 - tn13 + 제 + C 'bin 11-지+ 1n13 -지 + bin|1 + 지 -n13 + 지 + C 0-bin|1-지+ In 13-지 + bin|1 + 지 +C

Q: 4x3 + 4x? – 2x + 4 dx - (x² + 1)?

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Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ x2/x4 - 1 dx

A: ∫x2x4−1dxFirst we factorx4−1=(x2)2−(1)2                                        =(x2−1)(x2+1)…

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ dx/x2 + 2x

A: We write the integrand using partial decomposition

Q: Evaluate the following integral using partial fractions: x - 1 dx x3 + 2x2 – x- 2

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. dx 4 - 9x2 ... dx %3D…

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Q: Evaluate the integral by using a substitution * x2 dx J Nx2 + 18 3x 2- 18 + 9 In (x + V2 + 18) + C…

A: Solve the indefinite integral by using the substitution method

Q: Evaluate the integral using the method of partial 2x3–15x²+17x+13 x2–7x+12 fractions: dx

A: NOTE: Refresh your page if you can't see any equations. . take long division…

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+ 4 dx x+ 5x- 6…

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Q: Use the method of partial fractions to evaluate each of the following integral. dx Jalx – 1)(x –…

A: The given integral is: I=∫dxx(x-1)(x-2)(x-3)

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: 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: Evaluate the integral. °/√36 - x² dx = 36cos + √36-x² + C 6 |x X ° / √36- √36x² dx = 18sin + 36-x² +…

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Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ y2 + 2y + 1/(y2 +…

A: To express the integrand as a sum of partial fractions and evaluate the integral. ∫y2+2y+1y2+12dy

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ dt/t3 + t2 - 2t

A:

Q: Evaluate the following integral using partial fraction x* – 2x2 + 4x + 1 х3 — х2 — х + 1 -

A: We will find the integral using partial fraction  as following.

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

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. + 26y + 169 -dy 2 +…

A: topic - indefinite integration

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ 1/x4 + x dx

A: Given         ∫1x4+xdx

Q: Evaluate the integral by partial fractions decompositior Зx3 + 1 dx x3 – x² + x – 1

A: Here we have to evaluate,

Q: Evaluate the integral using partial fractions: ∫ x+4 / x2+2x+5 dx

A: Here we use partial fraction and integration of the particular function : ∫dxx2+a2=1atan-1xa+C

Q: Evaluate the integral by Partial Fractions ∫6x^2-3x/(x-2)(x+4) dx

A:

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ x2 + x/x4 - 3x2 - 4…

A:

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 3 2x - 8x

A: see below the answer and calculation

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

A:

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 3y + 4 dy…

A: Given integral is ∫1213y+4y2+ydy

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 2x³ - 8x

A: To express the integrand as a sum of partial fractions and to evaluate the integrals.∫x+92x3-8x dx

Q: Use Method of partial fractions to evaluate the integral : S 2x+7 dx x2-9x+14

A:

Q: Estimate the integral 6.8 [..* ƒ(x) dx using the best combination of the trapezoidal rules, Simpson…

A: For x=0 to x=0.9 we apply Simpson 3/8 rule For x=1.7 to 3.1 we apply trapezoidal rule For x=3.8 to…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 3x2 - 11x + 4 dx x3 -…

A:

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 Зу+4 dy y…

A: Given: A function ∫1/213y+4y2+ydy Simplify using partial fractions:…

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

A: GIVEN: Perform partial fraction decomposition:

Q: Express the integrand as a sum of partial fractions and evaluate the integral. y² + 6y + 9 -dy (?…

A: Solved below

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: Evaluate the integral. e Sx +2 -(64x²+16x - 66)+ C a. 512 e 8x +2 S(64x-16x-6 +c Ob. 512 e 8x +2…

A:

Q: Express the integrand as a sum of partial fractions and then evaluate the integral. -dx x'-1

A: We have to calculate the integral.

Q: Consider S integral can be written as of A, B, and C. 6 O 5 14/3 O 17/6 3x5 3x4+6x3-3x2 - 6x √(x-1…

A:

Q: Using decomposition into partial fractions, the following integral is equal to s 27 2x + 1 3x3 - 27x…

A:

Q: Evaluate the integral using partial fraction decompoșition (х — 1) J (x2 – 4x – 5) -

A: Given the integrationI=∫(x−1)(x2−4x−5)dx

Q: express the integrand as a sum of partial fractionsand evaluate the integrals. ∫ x3 dx/x2 - 2x + 1

A: Given: I=∫x3dxx2-2x+1 for evaluating given integral, we simplify given expression as below…

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. X +4 dx X +7x-8

A:

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

A: Given problem:- Evaluate the integral by first performing long division on the integrand and then…

Q: Evaluate the integral using partial fractions: ∫ 10 / (x-1)(x2+9) dx

A: Solution:To evaluate the integralLet I=∫10x-1x2+9dxFormula:∫f'(x)f(x)dx=ln f(x)+C

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: Evaluate the following integral using partial fractions: 2x2 +1 dx J(x – 1)(x – 2)(x – 3) -

A: Given: I=∫2x2+1x-1x-2x-3dx   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx ; where a is…

Q: 9 Express the in tegrand ar a sum of parhal fraction and evaluate tte ntegral. %3D XXXH)

A: ∫2dxx(x+1)

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: Evaluate the integral from 1 to 2 using partial fractions: ∫ (4x2-7x-12) / x(x+2)(x-3) dx

A: To evaluate the integral: ∫4x2-7x-12xx+2x-3dx Solution: Decomposing the integrand using partial…

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