# Which of the following integrals cannot be integrated using partial fractions using linear factors with real coefficients? a) integral of (x^2-1)/(x^3+x) dx b) integral of 1/(9x^2-4) dx c) integral of (x^3-x+3)/(x^2+x-2) dx d) All of these can be integrated using

16,471 questions
1. ## Calculus

Which of the following integrals cannot be integrated using partial fractions using linear factors with real coefficients? a) integral of (x^2-1)/(x^3+x) dx b) integral of 1/(9x^2-4) dx c) integral of (x^3-x+3)/(x^2+x-2) dx d) All of these can be

2. ## Calculus

Which of the following integrals can be integrated using partial fractions using linear factors with real coefficients? a) integral 1/(x^4-1) dx b) integral (3x+1)/(x^2+6x+8) dx c) integral x^2/(x^2+4) d) None of these

asked by Alice on April 7, 2019
3. ## Calc easy

Having trouble getting the correct solution. The integral of “x squared” in the numerator and “x squared plus x minus 6” in the denominator. S X2 / (X2 + x – 6) dx Thanks! That's a messy one. According to my table of integrals. The answer is -x/6

asked by Ang on February 23, 2007
4. ## Calculus II

Express the integrated as a sum of partial fractions and evaluate the integral 3x2+x+9/(x2+5)(x-6)

asked by Rosali on June 5, 2017
5. ## Math

Calculate the integrals by partial fractions and using the indicated substitution. Show the results you get are the same. dx/1-x^2; substitution x= sin pheta I understand how to do the partial fraction part, but not the second part and I don't know how

asked by Jessica on February 25, 2008
6. ## Calculus II

Evaluate the integral by first performing long division on the integrated and then writing the proper fraction as a sum of partial fractions. x^4/x^2-9

asked by Rosali on June 5, 2017
7. ## Binomial

Help me on this one :( Express y= (7-3x-x^2)/[((1-x)^2)(2+x)] in partial fractions. Hence, prove that if x^3 and higher powers of x may be neglected, then y=(1/8)(28+30x+41x^2) I did the first part of expressing it in partial fractions. (Since it's very

asked by Keira on March 3, 2010
8. ## calc II

Express the integrals as the sum of partial fractions and evaluate the integral: (integral of) (x^2)dx/(x-1)(x^2 +2x+1) My work: The above integral is equal to x^2dx/(x+1)^2 (A/x-1) + (B/x+1) + (Cx+D)/(x+1)^2 = x^2 A(x+1)^2 + B(x-1)(x+1) + (Cx+d)(x-1) =

asked by Jenna on December 6, 2009
9. ## CALC 2 - Partial Functions!!

How do I solve Integral of 7/(16-x^2) I know I must break down (16-x^2) into (x+4)(-x+4), but after I do that what is next? Using the method of partial fractions, convince yourself that 7/(16-x^2)= (7/8)*[1/(4+x) + 1/(4-x)] The two additive terms can be

asked by Ace on June 13, 2007
10. ## Calc II

Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and evaluate the integral: (integral of) 2y^4dy/y^3 - y^2 + y - 1 After long divison I get: (integral of)2ydy + 2(integral of)dy + (integral of) 2/y^3 - y^2 +

asked by Jenna on December 6, 2009
11. ## Calculus - Integration

I came across this problem in my homework, and I was wondering if partial fractions would be rational for this problem. Int [(2x)/((x^2)^2)]dx If I don't use partial fractions, what would I use?

asked by Sean on May 9, 2008
12. ## factoring

can this equation be factored further? y= x^4+2x^3+4x^2+8x+16 Not in the real number system. If you plot the function, you will see the minimum is at x=-1.1 (approx) and y is positive. At no x does the function equal zero, so there are no real roots, which

asked by kristie on July 26, 2006
13. ## Calculus 2 II

integral from 0 to 1 of x-4/(x^2-5x+6) I do believe we can integrate with partial fractions, and I should factor it in order to create a linear case 1 thingy so then, it will be: x-4/(x-2)(x-3) After that, I will find the value of a/(x-2) + b/(x-3). But I

asked by Hanky7 on February 25, 2015
14. ## MATH!

Finding Common Demoninators in fractions. 1) 2 4 -- - --- x^2-16 x^2+x-12 2) x-3 x+3 ---- + ------ x^2+2x-8 x^2+7x+12 Can ANYONE help me with these. I cant figure out how to get the DEMONINATORS THE SAME!? Use brackets to write these kind of fractions, the

asked by megan on April 1, 2007
15. ## Math / Fractions

I have 3 mixed fractions 2 1/4 , 1 1/2 , 3 5/8 Now I already turned them into improper fractions. 9/4 , 3/2 , 29/8 But I'm a little confused on how to get the common denominator.. Is it 8? or do I multiply their factors?

asked by Slave on January 2, 2016
16. ## Math

integrate (x^2+8)/(x^2-5x+6) by partial fractions method. I first did long division, and came up with 1+((5x+2)/(x^2-5x+6)). Then I did partial fraction for (5x+2)/(x^2-5x+6) by going A/(x-3)+B/(x-2) and I got 17/(x-3)-12/(x-2) to take the integral of. But

asked by Betty on February 27, 2016
17. ## Integral calculus

Please can anyone help with the following problems - thanks. 1) Integrate X^4 e^x dx 2) Integrate Cos^5(x) dx 3) Integrate Cos^n(x) dx 4) Integrate e^(ax)Sinbx dx 5) Integrate 5xCos3x dx The standard way to solve most of these integrals is using partial

asked by Febby on April 13, 2007
18. ## calculus

find the exact length of the curve y = ln(1-x^2), 0

asked by Daniel on March 13, 2013
19. ## algebra

Find all positive values for k for which each of the following can be factored. x^2+3x+kthe coefficent of the middle term is 3 3=2+1 k=2*1=2 did i do this right This one I had no Idea where to start can some one please explain it to me x^2+x-k The second

asked by allen on May 9, 2007
20. ## Math

Describe two ways to determine the larger of two fractions. A. Compare fractions by writing fractions as mixed numbers B. Compare fractions with the same denominator by comparing the numerators and compare fractions with different denominators by writing

asked by Tina on October 25, 2017
21. ## chemistry

The time dependent concentration of solute particles in a solution is given by c(r, t) = [n/8(pi D t)^(3/2)] e^(-r^2 /4 D t) where r^2 = x^2 + y^2 + z^2 with x, y, and z being the values of three components of the position in the Cartesian coordinate

asked by drifting on December 2, 2009
22. ## algebra

x/x-2 - x+1/x = 8/x^2-2x notice the last denominator factors to x(x-2) and those factors are found in the other two fractions so x(x-2) is the lowest common denominator. now multiply each term by that x(x-2) to get (x)(x) -(x+1)(x-2) = 8 simplify and solve

asked by Tony on April 24, 2007
23. ## Alex

Express x^3-4/x^2(x+2) into partial fractions

asked by Cooper on March 28, 2017
24. ## maths

Resolve 3x/x^2-x-12 into partial fractions

asked by daka on March 22, 2012
25. ## calculus

Decompose 58-x/x^2-6x-16 into partial fractions.

asked by Eileen on May 15, 2011
26. ## maths

Evaluate using partial fractions x^4 - 16/x^3 - 8

asked by victor.m on February 6, 2012
27. ## math

Separate the following into partial fractions: (a) 3x^2/(x-1)^2 (x-2) (b) x-1/(x^2 + 2)(x + 1) (c) x^2 + 1/(x + 1)(x - 3)

asked by karma on January 31, 2017
28. ## maths

express x-1/(x+1)(x-2)^2 into partial fractions

asked by chrystabelle on February 16, 2012
29. ## Maths

asked by Claire on November 15, 2007
30. ## Math

Resolve in partial fractions (x+6)/((x^2+1)(x-2)^2) Using let x = ...

asked by Anonymous on November 22, 2014
31. ## math/algebra

Express x^2 - 3x x^2 - 1 As partial fractions

asked by sly on March 12, 2014
32. ## Math

Express 2x^3-9/x^3+6x^2+8x as partial fractions

asked by Amanda on March 22, 2016
33. ## math/algebra

Express x^2 - 3x/x^2 - 1 As partial fractions

asked by sly on March 12, 2014
34. ## calculus

Find the partial fractions for (3x^2-7x+12)/(x-2)(x^2-2x+5)

asked by Joseph79 on March 6, 2013
35. ## Precalculus

"An aquarium with length x, width x-10, and height x-5 holds about 750 cubic feet of water. Find all real solutions of the equation (I wrote it) 750 = x(x-10)(x-5)." I got the volume equation correct, right? I've tried dividing the factors of -750 by the

asked by Emily on September 17, 2009
36. ## Algebra 2

1. The roots of the quadratic equation z^2 + az + b = 0 are 2 - 3i and 2 + 3i. What is a+b? 2. Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value,

asked by Nanami on October 7, 2017
37. ## Mathematics

Thanks you kindly. Express (2x^2-5x-5)/((2x^2+5)(4x-5)) in partial fractions.

asked by WarmLingQi on October 1, 2008
38. ## calculus

INTEGRATION USING PARTIAL FRACTIONS a) 4x^2-3x+2 / x^3-x^2-2x dx b) x^2 / (x+1)(x+1)^2 dx c) 3-3x / 2x^2+6x dx d) x^2+2x-1 / (x^2+1)(x-1) dx ##anybody can help me for this question?

asked by kchik on December 4, 2012
39. ## math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.

asked by Regina on June 5, 2013
40. ## math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.

asked by Regina on June 5, 2013
41. ## math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.

asked by Regina on June 5, 2013
42. ## math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.

asked by Regina on June 5, 2013
43. ## Math

Express 13-15x^2/(x^2-1)(x 3) into partial fractions

44. ## calculus

how to you use partial fractions to compute the integral of ax/((x^2)-bx)dx?

asked by mika on March 16, 2008
45. ## math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.

asked by Regina on June 5, 2013
46. ## math

Express (15x^2+5x+2)/(2-x)(1+2x^2) in partial fractions.

asked by Regina on June 5, 2013
47. ## Calculus

Write 2.445353535353... as a fraction I'm learning integrals right now and this is part of the exercises under it. Is there a trick to this? Using integrals? Thank you very much!

asked by Alex on January 31, 2015
48. ## Calc or Pre calc

I am having trouble doing this problem. I know how to do indefinate integrals, but I don't know how to do definate integrals. Can you show me how to do this. Evaluate 5 (x^3-2x)dx 2

asked by jennifer on May 14, 2008
49. ## MATH

Evaluate by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area.

asked by LUNG on December 7, 2012
50. ## Maths-Integration by Partial Fraction

Use integration by partial fractions to find Integral (3x^2-x+2)/(x-1)(x^2+1) dx

asked by Anonymous on December 12, 2012
51. ## Statistics

An electronic product contains 32 integrated circuits. The probability that any integrated circuit is defective is 0.02, and the integrated circuits are independent. The product operates only if there are no defective integrated circuits. What is the

asked by Ashley on February 20, 2014
52. ## calculus

[integrals]2/tsqrt(t^4+25) integrals of two over t square root of t to the 4th plus 25

asked by steve on November 23, 2009
53. ## Math/Calculus

How would I integrate the following: (2x^2 + 5)/((x^2+1)(x^2+4))dx I think I would start with making it a sum of two partial fractions.

asked by COFFEE on May 29, 2007
54. ## Calculus

2x -------- (x-2)(x+2) using partial fractions That's supposed to be a division sign of some sort

asked by Laurie on May 21, 2014
55. ## calculus

integrate (x+2)/((x^2+2x+4)^2) the usual partial fractions don't work???

asked by matt on March 3, 2008
56. ## Calculus B

The Antiderivative of: (2x+3)/((x^3)+3x) This one is devinately integration by partial fractions but im not sure what i am doing wrong. PLEASE HELP.

asked by Brandon on March 28, 2011
57. ## math

using method of partial fractions to decompose this 1/(x-3)(x+3) is 1/6(x-3)-1/6(x+3) correct or have i gone wrong somewhere

asked by mousey on October 24, 2009
58. ## Calculus

2x -------- (x-2)(x+2) using partial fractions That's supposed to be a division sign of some sort

asked by Kristin on May 22, 2014
59. ## Calculus - Partial Fractions

What is the integral of 7e^(7t) Divided By e^14t+13e^7t+36 Using partial fractions

asked by Sean on March 14, 2008
60. ## Calculus

The rational function (x-4)/x(2x-1) can be expressed as the sum of two partial fractions: A/x and B/(2x-1). Find the value of A – B. a) -11 b) 11 c) -3 d) 3

asked by Alice on April 7, 2019
61. ## Calculus

Find the integral of x/ (x^4+x^2+1) from 2 to 3. I was going to integrate using the method for partial fractions but I can't factor x^4+x^2+1.

asked by Rachel on January 22, 2011
62. ## Calculus

Solve the integral: (2x-3)/(x^3-x^2) I'm stuck at finding A. I did partial fractions. I've already found B and C. At x=1, C=-1 At x=0, B=3

asked by Mike on October 3, 2018
63. ## Calculus

Integral of x sq/(1+x sq) dx I am not sure how to do this, am i supposed to do partial fractions to break it up? Or is it just some simple substitution?

asked by O_o Rion on December 7, 2009
64. ## Math

By the method of the fractions partial determine the function f (t) of the following functions F (s). F(s)= s^2+7s+12/(s+2)(s+4)(s+6) F(s)= (s+3)(s+6)/s(s^2+10s+24) F(s)= 5(s+2)^2/s(s+1)^3 F(s)= s+6/s(s+1)^2 F(s)= 27/(s+1)^3(s+4)

asked by SILVA on March 4, 2012
65. ## Algebra

Find the real zeroes of the polynomial: f(x)=2x(x+5)^2-8x I know you can pull the factors from the leading coefficient and the constant: constant = p= 5 factors 1, 5 leading coefficient= q= 2 factors 1, 2 so would my rational zeros be: +/-{1, 1/2, 5, 5/2}

asked by Markus Dotrice on July 1, 2018
66. ## math

how often does a leap year occur? what are al the prime numbers less then 12. what is the eighth multiple of 32? is the last digit of the multiples if 4 odd or even? what are the six factors of 12? what are the factors of 16. two factors of 20 are 1 and

asked by jojo on November 9, 2010
67. ## math

You have a difference of squares (x^2-3)(x^2+3) One of these factors to two real roots, the other to two imaginary roots. You have a difference of squares (x^2-3)(x^2+3) One of these factors to two real roots, the other to two imaginary roots. Let g(x)=

asked by bobpursley on May 30, 2007
68. ## P-Chemistry

A closed vessel of volume 2.50 dm3 contains 100g of nitrogen (N2) and 100g of carbon dioxide (CO2) at 25 C. What are the partial pressures and mole fractions of each gas? Can you check my answers.Thank you. I got Partial Pressure for N2=34.95 atm CO2=22.24

asked by Jessy on September 5, 2016
69. ## chemistry

When determining partial negatives and partial positives, does the partial postive go with the more electronegative atom? Ex: C=O, the polarity arrow goes toward the O because its more electronegative than the C but which atom gets the partial negative and

asked by AMY on October 3, 2007
70. ## Calculus - Integrals

I made this question, just wanted to make sure it didn't drown under the tide... I've set a problem up, something like this. s^4: A+D=0 s^3: -2A+B-3D+E=0 s^2: 2A-B+C+3D-3E=0 s^1: -2A+B-D+3E=4 s^0: A+C-E=4 Count Iblis -It's easier to substitute for s the

asked by David on March 25, 2008
71. ## bobPursley2...the other one

Problem 2: (x+2)/(2x^2+5x+2) - (x-3)/(2x^2-5x-3) What I did: 2x^2+5x+2 factors are (2x+1)(x+2) 2x^2-5x-3 factors are (2x+1)(x-3) Then: (x+2)/(2x+1)(x+2) - (x-3)/(2x+1)x-3) So the common denominator is (2x+1)(x+2)(x-3) using that combine the fractions. I

asked by Margie on March 4, 2007
72. ## basic word and excel

_______ data would be useful for creating a weekly status report for your manager that should reflect changes in real time. A. Field B. Integrated C. Linked D. Embedded

asked by LEE on December 13, 2017
73. ## Math- Partial Fractions

Decompose the following into partial fractions after factoring the denominator as much as possible. Please show some work so I can understand how you did it. 1)x^2/((x-1)(x^2+5x+4)) 2)(3x^3-5x^2+12x+4)/(x^4-16) 3)1/(x^2 (x+1)^2 ) 4)(x+1)/((x^2+1)

asked by Chris on April 4, 2013
74. ## Calculus

Solve the integral: 5/x(x^2-4) dx I've done the partial fractions and found B and C, both equaling 5/8; and that's gonna give me 5/8 ln|x^2-4|. I just need help finding A

asked by Mike on October 2, 2018
75. ## common factors

i need to use common factors to write 2 factors equivalent to each fractions: 1) 8/24 i got 2/6 and 1/3 2) 18/36 igot 3/6 and 1/2 3) 27/81 i got 1/3 and 9/27 4) 60/140 i got 3/7 and 15/35 5) 30/42 igot 5/7 and 10/14 6) 45/90 igot 1/2 and 5/10 7) 24/84 i

asked by marko on December 1, 2011
76. ## math

which statement about linear functions are true A)linear functions grow by equal factors over equal intervals B)linear functions grow by equal differences over equal intervals C)linear functions grow by equal differences over unequal intervals D)linear

asked by b8 on May 18, 2014
77. ## AP Calc BC

Hi! Thank you for your help How do you find the antiderivative of 2/((x^2)+1) "two over (x squared plus one)" I think I have to do integration by partial fractions but I didn't figure it out...assistance is much appreciated Thank you very much

asked by APpreciative student on November 29, 2010
78. ## calculus

what is the integral of (x^2-x+6)/(x^3-3x)? the process involves partial fractions, and the answer is supposed to include ln and arctan... i just don't know how to get there.

asked by belinda on March 2, 2008
79. ## math

Express (5x+2)/(2x-1)(x+1) into partial fractions and hence expand the expression as a series in ascending power of x giving the first 4 terms

asked by mel gibbs on April 25, 2013
80. ## calculus

what is the integral of x^2-x+6/x^3-3x? the process involves partial fractions, and the answer is supposed to include ln and arctan... i just don't know how to get there.

asked by belinda on March 1, 2008
81. ## Math33333

Please help me! Problem: x+2 x-3 _________ - _________ 2x^2+5x+2 2x^2-5x-3 *Simplify the expression 2x^2+5x+2 =(x+2)(2x+1) 2x^2-5x-3 =(2x+1)(x-3) So x+2/(x+2)(2x+1) = 1/2x+1 x-3/(2x+1)(x-3) = 1/2x+1 Finally 1/2x+1 - 1/2x+1 = 0 Let's take a look at the

asked by Margie on March 3, 2007

what exactly is a prime factor would x-5 x+5 and x2+25 all be prime factors of x4-625? Yes, I believe those would be the prime factors. x^4 - 625 can be factored into (x^2 -25)(x^2 + 25) and once again into (x-5)(x+5)(x^2 + 25) That is what you have done.

asked by anonymous on November 30, 2006
83. ## Algebra

Find the LCD for the given rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator. 3 5 ----, ---- 84a 63b 4b 6 -----, ---- 75a 105ab Can someone here help me I do not understand

asked by Angel007 on August 7, 2005
84. ## math

Fractions and mixed numbers are often used in everyday life. Discuss a real-life example in which you would need to add, subtract, multiply, or divide fractions or mixed numbers, and show the math

asked by Jennifer on January 13, 2014
85. ## Cal II

express integrand as sum of partial fractions and evaluate the integral. My answer is 3 ln x + -2ln(x+2). But the choices are nothing like this. What am i doing wrong??

asked by UGH! on October 28, 2013
86. ## Maths

What is the answer for these questions:- 1) Indefinite Integrals gcx) = (8 + 39x ^ 3) / x 2) Indefinite Integrals hcu) = sin ^2 (1/8 u) 3) Evaluate x ( 8 - 5 x ^2) dx Thank you

asked by Alex on June 16, 2011
87. ## statistics

Suppose that fÈ and fX|È are described by simple closed-form formulas. Suppose that È is one-dimensional but X is high-dimensional. a) Suppose that a specific value x of the random variable X has been observed. Is it true that the calculation of the LMS

asked by alec on April 14, 2015
88. ## math

i am having trouble on solving fractional equations such as: 2 3 7 ______ + _____ = ______________ x+3 x+4 x^2 +7x+12 factor the right side denominator, then look for what factors make up a common denominator. For each fraction, multiply the numerator and

asked by Katherine on March 17, 2007
89. ## Algebra

Determine if the relationship represented in the table is linear. If it is linear, write an equation. x 2 5 7 10 12 20 y -3 0 2 5 7 15 A) Linear; y = x - -5 B) Linear; y = -5x C) Linear; y = x + -5 D) Not linear I'm thinking it's C am I correct

asked by Lisa on September 9, 2009
90. ## Math - Very urgent.

Use prime factors to find the LCD for each pair of fractions. a) 1/4, 1/8 b)1/6, 1/18

asked by Sally on September 8, 2014
91. ## algebra

If v1,...,v4 are in R^4 and v3 is not a linear combination of v1, v2, v4 then {v1, v2, v3, v4] is linearly independent. Is this true or false? Why? If v1,...,v4 are in R^4 and v3 is not a linear combination of v1, v2, v4 then {v1, v2, v3, v4] is linearly

asked by Ashley on May 20, 2007
92. ## Algebra

The volume in cubic feet of a box can be expressed as (x)=x^3-6x^2=8x￼ , or as the product of three linear factors with integer coefficients. The width of the box is x-2.  Factor the polynomial to find linear expressions for the height and the

asked by Ciaria on March 17, 2015
93. ## Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x)=2-x^2 on the interval [0,√2). If so, find the x-coordinates of the point(s) guaranteed by the theorem a) No, the Mean Value Theorem for Integrals does not apply b) Yes, x=4/3

asked by Alice on February 13, 2019
94. ## math

i don't know how to get rid of the fractions in these linear equations, can someone help ? one: 9/2(x+3) -4 =23 two: 3/4(24-8x)=2(5x +1)

asked by Catherine on August 26, 2010
95. ## math

how do you solve this linear equation? x/3-1/3=-5 I do not understand this with fractions. Can anyone help?

asked by rmz on February 21, 2010
96. ## calculus

I have a multipart problem, but I'm unclear on how to approach the second half. I integrated the equation dL/dt=a(Le - L ) (where Le = eventual length)...then next part of the problem says to evaluate the new constant of integration (the integrated

asked by dolphin1384 on March 7, 2009
97. ## trig integration

i'm having trouble evaluating the integral at pi/2 and 0. i know: s (at pi/2 and 0) sin^2 (2x)dx= s 1/2[1-cos(2x)]dx= s 1/2(x-sin(4x))dx= (x/2)- 1/8[sin (4x)] i don't understand how you get pi/4 You made a few mistakes, check again. But you don't need to

asked by christine on February 18, 2007
98. ## Algebra Help

You are going to write a fairy tale! Your story should include all of the standard elements of fairy tales. Begins “Once upon a time … ” Animals can act like humans. Involves magical items or helpers. Ends “ … happily ever after.” Your story

asked by Dina on January 15, 2015
99. ## arithmetic

how do u use fractions percents an decimals in real life

asked by genesis on October 12, 2010
100. ## Math

Explain how to find 14 x 19 by breaking apart the factors into tens and ones and finding the sum of the four partial products

asked by Mia on December 9, 2010