1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
horrorfan [7]
3 years ago
6

Use partial fraction expansion to evaluate: LaTeX: \int\frac{x-1}{x^2+3x+2}dx ∫ x − 1 x 2 + 3 x + 2 d x a. LaTeX: -2\ln\left|x+1

\right|+3\ln\left|x+2\right|+C − 2 ln ⁡ | x + 1 | + 3 ln ⁡ | x + 2 | + C b. LaTeX: \frac{-2}{x+1}+\frac{3}{x+2}+C − 2 x + 1 + 3 x + 2 + C c. LaTeX: \frac{2}{\left(x+1\right)^2}+\frac{-3}{\left(x+2\right)^2}+C 2 ( x + 1 ) 2 + − 3 ( x + 2 ) 2 + C d. LaTeX: \frac{1}{\left(x+3+\frac{2}{x}\right)^2}+C 1 ( x + 3 + 2 x ) 2 + C
Mathematics
1 answer:
ohaa [14]3 years ago
8 0

\frac{x-1}{x^2+3x+2}\\\frac{x-1}{(x+1)(x+2)}\\\frac{x-1}{(x+1)(x+2)}=\frac{A}{x+2}+\frac{B}{x+1}\\x-1=A(x+1)+B(x+2)\\\\\text{ Let } x=-1 \text{ then } -2=A(0)+B(-1+2) \text{ which means } B=-2\\\\\text{ Instead of choose } x \text{ to be -1, let's now set it equal to -2 to find } A\\\\-3=A(-1)+B(-2+2)\\-3=-A\\A=3\\\\ \text{ So your integral becomes } \\\int \frac{3}{x+2} dx+\int \frac{-2}{x+1} dx\\3 \ln|x+2|-2\ln|x+1|+C\\\\or\\-2\ln|x+1|+3\ln|x+2|+C

You might be interested in
13is 26% of what number
Aleonysh [2.5K]
x-\ number\\\\
26\%*x=13\\\\
0,26x=13\ \  \ |divide\ by\ 0,26\\\\x=50\\\\13\ is\ 26\%\ of\ 50.Answer here
4 0
3 years ago
Look at the image. ( Ill give brainliest to best answer.)
nalin [4]
C. 1 solution hope it helps
3 0
3 years ago
Find the area of the circle 3.6​
swat32

Answer:

The formula to get the area of a circle is: A = πr²

  • Area = pi × radius²
5 0
3 years ago
Ayana has 220 coins in her piggy bank Of those 40percent are pennies. Out of the coins that are not pennies 25 percent are partn
Rzqust [24]
To find a percent of a number, multiply the percent by the number.

First we find the number of pennies.

40% of 220 =

= 40% * 220

= 0.4 * 220

= 88

88 coins are pennies.

220 - 88 = 132

132 coins are not pennies.

Now we find 25% of 132.

25% of 132 =

= 25% * 132

= 0.25 * 132

= 33

33 coins are partners.

(Did you mean quarters instead of partners?)
3 0
3 years ago
Find the area of the shaded polygons<br> PLS HELP ASAP!!
matrenka [14]

Answer:

4.5

Step-by-step explanation:

I do RSM

5 0
3 years ago
Other questions:
  • What is 27 over 90 reduced to
    14·1 answer
  • Solve for t in the scientific formula
    7·2 answers
  • PLS HELP ME ASAP FOR 39 (SHOW WORK!) + LOTS OF POINTS!! *CORRECT ANSWER ONLY!*
    6·2 answers
  • Determine in which quadrant the product of 5(cos3pi/8 + isin 3pi/8) and sqrt 2(cos pi/12 + sin pi/12) lies.
    5·1 answer
  • Use the drawing tools to form the correct answer on the grid. Graph a linear function with these key features: positive on (-8,
    7·1 answer
  • How do I find the possible values of x
    11·1 answer
  • CHOOSE ONLY 1 TO DO AND PLZ WRITE THE ANSWERS
    13·1 answer
  • Shobo's mother's present age is six times Shobo's present age. Shobo's age five
    10·1 answer
  • A toy factory makes 15 teddy bears every 10 minutes. The factory makes teddy bears for 8 hours each work day. What is the fewest
    10·1 answer
  • A jam recipe requires 3 quarts of raspberries. Raspberries are available in 1.5 pint containers at a grocery store. How many con
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!