In Exercises 33–38, perform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral. 2x³ – 2x² + 1 · dx - dx 33. 34. x2 х 16x 4x2 9x3 Зх + 1 35. 36. dx 4х + 1 x³ - x2 y* + y² – 1 - dy y3 + y 2y4 y – y? + y – 1 - dy 37. 38. Evaluating Int grals

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. ∫ x2/x4 - 1 dx

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

Q: 3x4 – 8x3 + + 3x2 + 4x +1 x³ – 2x2 + x dx

A:

Q: Use any method to evaluate the integrals in Exercises 55–66. x³ – 2x² – 3x dx x + 2 x + 2 - dx x³ –…

A: 55 consider the given integral    Then it can be written as

Q: 1. Evaluate the integral by partial fraction decomposition technique: 3x² – x + 1 -dx. x³ – x² -

A: Method:- Need to use partial fraction decomposition technique to evaluate integral

Q: The technique used to prove that x4 - 2x + 2/2tan-1 3 X + C 2. dx = - - x² + 2 is Long (Euclidean)…

A:

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: (6x²+ 40x-20)dx 1. S. (x-3)(9x²-4)

A:

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

A:

Q: Solve the integral using partial fraction decomposition method, four digits after comma: 5x2 - 8x +…

A:

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

A:

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

A: Given,          ∫7x3-4x+2x3-x2dx

Q: Using the method of partial fractions, compute the indefinite integral dx. 3x – 2x2 – 1

A:

Q: Evaluate the integral using the method of partial fractions: 2z–15z²+13z+11 22-7z+10 dr

A: Find the integral using partial fraction

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…

A:

Q: Evaluate the integral using Partial Fraction Decomposition. 2x4 2a?x2 - 3x3 + 2ax² + a²x dx - x –…

A:

Q: Consider the integral x²1 – 6x14 + 8x7 – 26 dx (x³ – 4x² + 3x)° (x+ – 81)² Enter a T or an F in each…

A:

Q: #19. dr rª – 2x² – 8

A: Let the given integral be, I=∫x2x4-2x2-8dx Rearrange the terms,…

Q: Explain the steps for evaluating integrals by using the Partial Fraction and give one  example each…

A: We know that a rational function is represented as a ratio of two polynomials, where g(x) ≠ 0. Two…

Q: Solve the integral using partial fraction decomposition method, four digits after comma: 5x2 - 8x +…

A: We will solve the following

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

A: Given: I=∫x4x2-1dx for evaluating given integral, we subtract and add 1 in numerator then simplify…

Q: Use partial fraction decomposition technique to evaluate the integral: S; dx. x² (x+1)³

A: ∫x21+x3dx

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

A:

Q: Evaluate the integral using partial fraction decomposition

A:

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

A:

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

A: Given

Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods…

A: To solve the given integral

Q: 21(a) Evaluate | 3 -dx by partial fraction method. x3+7x2+ 10x 1 dx. -- (x-2)2 (b) Check the…

A: For first problem we have to use partial fractions and for second one replace -infinity by absolun…

Q: Watch the video on partial fractions with a repeated irreducible quadratic factor e and thevideo on…

A:

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: Find the partial fractions decomposition of the expression, and then use it to x2 – 5x +6' evaluate…

A: Solve by partial fraction

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: ∫ ((5x^3+2x^2+x-1)/(x^4+x^2) ) dx

A:

Q: 4x3 + 4x2 – 2x + 4 (x² + 1)?

A:

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: ex dx Jo 9-e2x 9 -

A: The solution is given below

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

A: ∫2dxx(x+1)

Q: Evaluate the integral using Partial Fraction Decomposition. - b²x² + 3x³ + 3x²b – x² + b² dx x4 –…

A:

Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods…

A: Given an indefinite integral, ∫x2lnxdx To solve the above integral.

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…

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

A: We will evaluate the integral.