# Calculus - Partial Fractions

20,450 results

### Calculus - Partial Fractions

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

### Calculus (Partial Fractions)

My Calculus class just started Partial Fractions, and I understand MOST of it. I'm having a slight problem though, when either C, or C and D come in. I understand A/(something) + B/(something) But I become confused when it's either A/(something) + B/(something) + C/(something...

### 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?

### 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 difficult to type out ...

### 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) 〖(x-1)〗^2

### 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 + y - 1 I keep getting ...

### calculus

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

### calculus

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

### 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 -(1/72)loge(x^2 +x -...

### calculus

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

### calculus

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

### 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?

### Calculus - Partial Fractions

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

### calculus

find the exact length of the curve y = ln(1-x^2), 0 <= x <= (1/2) So by doing the work I eventually get down to integral from 0 to 1/2 (1 + x^2)/(1-x^2) dx but I keep getting -1 + 1/(x-1) - 1/(x+1) after partial fractions which gives the answer ln(1/3) - 1/2 when I ...

### Calculus

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

### Calculus

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

### Calculus II

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

### 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.

### 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.

### 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.

### 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.

### 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?

### maths -partial fractions

Resolve in partial form (x^2+15)/(x+3)^2(x^2+3)

### 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

### math- partial fractions

how do you i do the partial fraction for 1/(s^2)(s^2 +2s +3)

### calculus

how do you evauste the intergral intergral (2x^4-2x^3+6x^2-5x+1)/(x^3-x^2+x-1)dx using partial fractions method?

### Calculus

Partial fractions of (2x^2 +8x+24)/(x+2)^2 (x^2 +4) I see a repeated quadratic and an irreducible quadratic..

### Calculus AB

Please help me integrate this equation using partial fractions: Integrate [(x^2+5)/(x^3-x^2+x+3)]dx. Thank you very much.

### 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.

### Partial Decompostion Fractions

Can you please help me with the following questions please, I don't understand them. I know the general rule about them. Write the partial fraction decomposition of the rational expression. (x^2+4x-1)/(x^2+3)^2 (4x^3+4x^2)/(x^2+5)^2

### Algebra-Partial Fractions

Can you please help me with the following questions please, I don't understand them. I know the general rule about them. Write the partial fraction decomposition of the rational expression. (x^2+4x-1)/(x^2+3)^2 (4x^3+4x^2)/(x^2+5)^2

### Maths-Integration by Partial Fraction

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

### Math (Calculus II) (Partial Fraction Decomposition

I'm having trouble trying to solve for the partial fraction decomposition in order to find the integral. ∫ x / (x^4 - a^4) dx I'm assuming a is some constant in this case. So I factored the denominator to this: (x^4 - a^4) = (x^2 + a^2)(x + a)(x - a) Which turns each of them...

### partial fractions

(7x^2-16)/(x^2-2x) solve by using partial fraction decomposition. i cant figure out how to do this because after i split up the bottom the A and B don't end up having an x^2 in order to equal the numerator of the original fraction. so confused!

### calculus

evaluate integral or state that it is diverges integral -oo, -2 [2/(x^2-1)] dx ----------------------------------- integral -oo, -2 [2/(x^2-1)] dx Through partial fractions, I came up with lim [ln(x-1)-ln(x+1)] b, -2 b->-oo I get (ln(3)-0)-(oo-oo)). The answer in the back ...

### 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 suck at matrices but ...

### 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 they are similar. Any ...

### Calculus Partial Derivatives

y=F(x+at) + f(x-at) y=F(w) + f(v) (w=x+at, v=x-at) don't see how to get from here to partial derivative y with respect to t = F"(w)a^2 + f"(v)a^2

### 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 integrated by the ...

### 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 when I check online ...

### calculus

I am working on this problem and having some trouble. We're supposed to use partial fractions. The problem is: integral of dx / (x^6-1) . I got the values of A and D, but I am having trouble with the others. Help please!

### 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 fractions as ...

### Math

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

### Calculus AB

I had to integrate [(x^2+1)/(x^2-x)]dx with partial fractions. My answer was 2ln abs(x-1) -ln abs(x)+C. But the answer on the answer sheet has an extra +x that I did not account for. Is that a typo or did I integrate incorrectly?

### Mathematics

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

### maths

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

### maths

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

### maths

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

### Maths- Integration by partial fractions

Integral (3x^2-x+2)/(x-1)(x^2+1) dx

### math

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

### math

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

### math

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

### math

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

### math

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

### math

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

### math/algebra

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

### math/algebra

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

### Math

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

### Alex

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

### 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 system. a) Show that the ...

### Math

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

### 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)

### Maths

Resolve into partial fractions: (x+3)(x+1)/ x(x^2+x+1) Can anyone please help me out?

### Calculus

Find out the partial derivative w.r.t 'x' and 'y' of f (x,y) = log(y) x Now, log(y) x = ln x / ln y Partial Diff w.r.t 'x' = 1/ x ln y so can you find out what will be the partial derivatives w.r.t 'y'

### calculus

find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^3 + x+y and show that the mixed partial derivatives fxy and fyx are equal

### 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 which has the ...

### 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 atm Mole fraction of...

### 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)

### Maths

If z=(x^n) f(x/y), where f is an arbitrary function, show that: x(partial z/partial x) + y (partial z / partial y) = nz Can someone please show me how to work it out? Thanks!

### Calculus Please check

Please check my answers and let me know if I did something wrong. Thank you! Find the partial derivative of x, and the partial derivative of y, then the partial derivative of x (1,-1), and the partal derivative of y (1,-1). f(x,y) = x^4 y^2 -x here is what I got @f/@x = 3x^3 y...

### calculus

Assuming that: Definite Integral of e^(-x^2) dx over [0,infinity] = sqrt(pi)/2 Solve for Definite Integral of e^(-ax^2) dx over [-infinity,infinity] I don't know how to approach the new "a" term. I can't use u-substitution, integration by parts, partial fractions, or trig ...

### 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

### 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 values that make the ...

### Calculus

State the growth factor in each of the following situations. Newspaper readership is declining by 7 1/3 % per year. A bouncing ball rebounds to 1/3 of its previous height. Dont know how to solve these fractions:\ I just hate working with fractions.

### 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

### 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??

### Chem

At 930 K, Kp = 0.30 for the following reaction. 2 SO2(g) + O2(g)=>2 SO3(g) Calculate the equilibrium partial pressures of SO2, O2, and SO3 produced from an initial mixture in which the partial pressures of SO2 and O2 = 0.51 atm and the partial pressure of SO3 = 0 (exactly...

### Calc

integral (x^3)/(x^2-2x+1) from -1 to 0 How do you get this integral? I was doing partial fractions and got A/(x-1)+B/(x-1), A+B=x^3, but that should equal 0 so where do I go from there?

### Algebra

Is this right? Decompose into partial fractions. (2x^2-24x+35)/(x^2+2x-7)(x-2)= (Ax+B)/(x^2+2x-7)+C/(x-2) =Ax^2+Bx-2Ax-2B+Cx^2+2xC-7C =(A+C)x^2+Bx+2(Ax+Cx-B)-7C A+C=2 2Ax+Bx+2Cx=24 -2B-7C=35 A=2-C B=(35-7C)/(-2)

### 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?

### 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?

### math -fractions

ordering fractions 1/2,7/8,9/10,1/3,3/5,1/4 write the above fractions in order.

### Algebra 1-Fractions

Or, eliminating fractions, I should say. So, I need some help. See, I am really not a big fan of fractions. But I need to eliminate fractions to do a math problem. First one is 1/2-x=3/8. I know how to find LCD, then multiply both sides, distributive property, etc etc. But ...

### math fractions

ADAM WANTS TO COMPARE THE FRACTIONS 3/12,1/6,AND1/3.HE WANTS TO ORDER THEM FROM LEAST TO GREATEST AND REWRITE THEM SO THEY ALL HAVE THE SAME DENOMINATOR?EXPLAIN HOW ADAM CAN REWRITE THE FRACTIONS?If anyone could helpme explain this to my 4 th grader.i am really bad with fractions

### Calculus also need help plz plz plz

If z=1/(x^2+y^2-1) is x(dz/dx)+y(dz/dy)=-2z(1+z) or -z^2(1+z) note:dz/dx=partial derivative of x and dz/dy=partial derivative of y??

### 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

### Chemistry

Heat Capacity at constant volume: CV = (partial q / partial T) with V constant since volume is constant, work is zero and dq = dU, so CV = (partial U / partial T) with V constant Delta U = CV * Delta T Does this final relationship hold during a reaction where volume is NOT ...

### Calculus Partial Fraction

(x^2)/(x^3)(x-2)

### Chemistry

If N2 is added to a balloon that contains O2 (partial pressure 450 mm Hg) and CO2 (partial pressure 150 mm Hg) to give a total pressure of 850 mm Hg, what is the partial pressure of each gas in the final mixture?

### Chemistry

If N2 is added to a balloon that contains O2 (partial pressure 450 mm Hg) and CO2 (partial pressure 150 mm Hg) to give a total pressure of 850 mm Hg, what is the partial pressure of each gas in the final mixture?

### Algebra 2

What is the result when you decompose 2x^2-19x+50/(x+3)(x-2)^2 into partial fractions? To clarify, the entire first line is over the entire second line

### math!!!!!!!!!!!!!!!

( egyptian fractions are fractions where the numerator can only be one) find two egyptian fractions where when added together it equalls 11/32

### calculus

a)find the first partial derivatives of f(x y)= x √1+y^2 b)find the first partial derivatives of f(x,y)= e^x ln y at the point (0,e)

### Algebra 1

c. multiplying x/6-5/8=4 by 6 did not eliminate all the fractions/ What could you have multiplied to get rid of all the fractions? Explain how you got your answer and write the equivelent equation that has no fractions. HELP ME PLEASE!!!!!!! I don't understand this.

### Calc

Classify all critical points of the function f(x,y)=x^2-y^2+4x-2y+1. I know I have to take the partial derivative and set them equal to zero to get my points and then use the Hessian. For some reason I am not getting the correct answer. partial d/dx 2x+4 and partial d/dy 2y-2 ...

### Calculus

Find the partial derivative for x. f(x,y)=1/SQRTx^2+y^2

### Calculus

How can I get partial sums of a series on a TI 89 calculator?

### Math

I the question is simple but I haven't done fractions in a while. So check my answer please. Are and equivalent fractions? A. No B. Yes, because both fractions are divisible by 2.**** C. Yes, because the difference between the denominator and numerator in each fraction is ...

### math

Separate the fractions 2/6,2/5,6/13,1/25,7/8and 9/29into two categories: those that can be written as a terminating decimal and those that cannot. Write an explanation of how you made your decisions. b. Form a conjecture about which fractions can be expressed as terminating ...