€S=x²-2x-In3x53x4+6x33x2 - 6xEvaluate-dx using method of partial fractions.(x− 1) 1/6(x+2) 16/3(x+1) 1/2+ C+ In[ (x− 1) 1/6(x+2) 16/3(x+1) 1/220¹² ] + C| ] + C(x-1) 1/6(x+2) 16/3-+ Inx + 1[(x − 1) 1/6 (x + 2) 16/3-(x+1) 1/22) 10¹² ] + CсO x²-4x2O x² - 4x2O r2-2r2+ In

Evaluate x2— 2x = In 4x–ܐ0x 3 5 3x4+ 63 - 3x2 -— 6x 2 O,2-4x 2 0 x²-2x 2 + ܀ -dx using method of partial fractions. (x-1) 1/6(x+2) 16/3- ]+c [c [(x-1) 1/6 (x + 2) 16/3- (x+1) 1/2 16/3 (x=1)(x+z)""]+c (x-1) 1/6(x+2) 16/3 (x+1)172 [c 172 ( ܙ +x)

Evaluate x2— 2x = In 4x–ܐ0x 3 5 3x4+ 63 - 3x2 -— 6x 2 O,2-4x 2 0 x²-2x 2 + ܀ -dx using method of partial fractions. (x-1) 1/6(x+2) 16/3- ]+c [c [(x-1) 1/6 (x + 2) 16/3- (x+1) 1/2 16/3 (x=1)(x+z)""]+c (x-1) 1/6(x+2) 16/3 (x+1)172 [c 172 ( ܙ +x)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.10: Partial Fractions

Problem 12E

See similar textbooks

Related questions

Q: Evaluate sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after the…

A: We have to find ∫sinln(x) dxWe will apply formula for integration by parts.We know, ∫uv dx…

Q: Using the tangent line to the graph of the function f(x) = In(x2 + 1) at x = 2, what is an…

Q: Use polar coordinates to find an iterated integral for finding the volume of the solid enclosed by…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If f is continuous on [0, 1], prove that f₁¹ f(x) dx = f₁¹ ƒ(1 − x)dx.

A: This question can be solved using properties of definite integrals.

Q: Let f(x) = { 6 - x - x² if x ≤ 2 2x - 7 if x > 2 Calculate the following limits. Enter "DNE" if the…

A: On solving this we will get

Q: Q4: Convert the following polar integral to Cartesian Integral in order (1) dx dy (2) dy dx T 6 csc0…

Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

Q: Question i: Kim is needing $3000 for a trip. she can make an investment that offers an interst rate…

Q: 2 Find all local extreme values of f(x) = + 2x² + 6x + 80. - 3 The FIRST local extreme value, moving…

Q: S For x1/2 dx and using the substitution = x1/2, the resulting integral takes the form: x-x3 -du S-…

Q: To evaluate A B [x²cc x²cosx dx use integration by parts. What is the expression after the second…

Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…

Q: e formula C = (F-32), where F2-459.67, expresses the Celsius temperature C as a function of the…

A: Topic:- function

Q: uppose m and n are constants and m #n. Evaluatesin (mx) cos(nx) dx O -sin(m− n)x+ - _____ m+n…

Q: When applying the u-substitution technique to this integral, we will need to exchange dx for du. 99…

Q: 5л Find the area bounded by the trigonometric curves y=sinx and y=cosx from x= to 3.459 square units…

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A: We have to find vector A and B.

Q: The Intermediate Value Theorem can be used to prove that the equation 2²-2-15-0 has at least one…

Q: For the function f(x) = 2x4 - 16x2 , find and identify any extrema (maximum/minimum) using the…

Q: Question 7 Consider S= Sx- x-m+ A) 5 3x5 3x4+6r³-3x²-6x A B C -+ -+- x-1 x+1 x+m 17/6 14/3 -dx.…

Q: Exercises To Solve [No.5] OS s dx (x-1) √x²2x-3 3-2x-x²

A: Explained below

Q: Consider the function f(x) shown in the graph below. (Note that you can click on the graph to get a…

Q: Solve DE using Bernoullis Equation

A: NOTE: Refresh your page if you can't see any equations. . take reciprocal on both sides…

Q: ·S- y dy Vy+2 using the substitution (√√y+2-5) (5√√y+2+y+21) +C 0²/(√y+2-5) (5√y+2+y+24) + C ○ ¾…

Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

Q: Solve the system of differential equations. 80 X' x 5 x₁ (0) 9, ₂(0) = 7 x₁ (t) = rolt)

Q: For what value of the constant c is the function f continuous on (-∞, +∞)? cz +4 if x ≤ 10 f(x) =…

Q: The table below shows the average rates of change for points near In (2) for the function f(x) = e +…

A: We have to find the instantaneous rate of change

Q: Question 14 π 5ñ Find the area bounded by the trigonometric curves y = sinx and y=cosx from x = —to…

Q: 1. Vector A is the same as: (Circle ALL that apply) A a. B+C b. D-B B C. D+C D d. (D-C)

Q: Evaluate ſxy dx+(x+y)dy along the curve y=x² from (−1,1) to (2,4).

Q: x-5 y+2_z+6 -2 5 d) is parallel to the y-axis, and passes through (6,-4,5) c) is parallel to *-=X+…

A: To find the vector equation of the line.

Q: 3 3--x2+3x and the line y=x. 4 Find the area bounded by the curve y=-x³- 16 10 square units 16…

Q: Let u = 1-16x². For the integral with respect to u, one limit of integration will be 1. What is the…

Q: for the implicit equation zey +In(y) = x³-12? da dy 3x2 02-2 = xey + Y 3x² - ey dy da xey + What is…

A: Topic = Derivative

Q: Calculus Effect of Luxury Tax on Consumption Government economists of a developing country…

Q: Evaluate S tan" (x) sec¹x dx. I A tan (+1)(x)tan (-1)(x) + C m+l - 1 I B tan (+3)(x) +tan (+1)(x) +…

A: Let's evaluate given integral.

Q: 1. Find the surface area of the solid obtained by revolving the curve y = √25-x from = 9 to x = 16…

Q: "+9y' + 18y = 0

A: Topic:- application of derivatives

Q: The height s (feet) of a ball hit into the air is given by s(t) = -16f² +50t + 5, where t is the…

Q: Evaluate only four integrals of the following integrals: 1/4 1 dx (i) dx (ii) J √1-9x² sin (3x) 0…

Q: Suppose that Find f'(x). f'(x)= f(x+h)-f(x) = -5hx² +6hx + 2h²x + 3h² - 1h³.

A: We will solve the problem.

Q: ve [No.5] -2 2 зах 9x²-6x+5

A: On solving this we will get

Q: Evaluate [sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after…

Q: The polynomial function f is defined by f(x) = −2x² + 3x³ + 5x²-x-5. Use the ALEKS graphing…

A: We need to find local maximum.

Q: Given: 3z = xy_Find ƒ² + fy² +1 **+*+9 Option 1 Option 3 x²+y²+1 ²+²+3 9 Option 2 None of the…

Q: Consider I x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? O 1/4…

Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 3/8 1/2 0…

A: The objective is to find the correct option.

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4…

A: Solution is here

Question

€S=
x²-2x-In
3x5
3x4+6x33x2 - 6x
Evaluate
-dx using method of partial fractions.
(x− 1) 1/6(x+2) 16/3
(x+1) 1/2
+ C
+ In
[ (x− 1) 1/6(x+2) 16/3
(x+1) 1/2
20¹² ] + C
| ] + C
(x-1) 1/6(x+2) 16/3-
+ In
x + 1
[(x − 1) 1/6 (x + 2) 16/3-
(x+1) 1/2
2) 10¹² ] + C
с
O x²-4x
2
O x² - 4x
2
O r2-2r
2
+ In

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

(a) How do we express a rational function r as a partial faction decomposition? (a) Given the form of the partial fraction decomposition. (i) 2x(x5)(x1)2 (ii) 2x(x5)(x21) (iii) 3x+1x(x2+1)2
Once you have a system of equations generated by the partial fraction decomposition, can you explain another method to solve it? For example if you had 7x+133x2+8x+15=Ax+1+B3x+5 , we eventually 7x+13=A(3x+5)+B(x+1) .Explain how you could intelligently choose an x-value that will eliminate either A or B and solve for A and B.
Can you explain how to verify a partial fraction decomposition graphically?

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage