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
musickatia [10]
3 years ago
14

ts^3_t{|x+2|} \, dx " alt=" \int\limits^3_t{|x+2|} \, dx " align="absmiddle" class="latex-formula">

where t = - 3
Mathematics
1 answer:
photoshop1234 [79]3 years ago
7 0
\displaystyle\int_{-3}^3|x+2|\,\mathrm dx

Recall the definition of absolute value:

|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x

So we can split up the integration interval at x=-2 and apply this definition to rewrite the integral as

\displaystyle\int_{-3}^{-2}(-(x+2))\,\mathrm dx+\int_{-2}^3(x+2)\,\mathrm dx
=\displaystyle-\int_{-3}^{-2}(x+2)\,\mathrm dx+\int_{-2}^3(x+2)\,\mathrm dx
=-\left(\dfrac12x^2+2x\right)\bigg|_{x=-3}^{x=-2}+\left(\dfrac12x^2+2x\right)\bigg|_{x=-2}^{x=3}
=\dfrac12+\dfrac{25}2=13
You might be interested in
5.23y+3·(2.7−1.6y) simplify
vampirchik [111]

Answer:

0.43y + 8.1

Step-by-step explanation:

5.23y + 8.1 - 4.8y

5.23y - 4.8y + 8.1

0.43y +8.1

5 0
3 years ago
În Figura 2 este reprezentat un trapez isoscel ABCD cu AB paralel CD , AC perpendicular BD, AB = 8m, CD = 4m . Punctele M , N ,
solong [7]

Answer:

?

Step-by-step explanation:

Speak english

8 0
3 years ago
If p is true and ~ q is false, then p ~ q is _____ false.
ozzi
Vas happenin
Hope you having a good day
I think it’s A
Hope this help *smiles*
3 0
3 years ago
The product of two numbers and is 20. If one of the numbers is 4/13 what is the other number?
Delvig [45]

Answer:

The answer to this is 65

Step-by-step explanation:

20 divide by 4/13

6 0
3 years ago
Read 2 more answers
How do i rewrite 2/3 with the denominator of 24
snow_tiger [21]

Answer:

2/3then after. 2×8/3×8=. 16/24 we got 24 as a denominator hope it will help 1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • 7. Which statement is true?
    15·1 answer
  • On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. Wha
    8·1 answer
  • The area of a rectangle is 54cm.the length is 2cm more than a x and the with is 5cm less than twice x.solve for x
    8·1 answer
  • Graph the inequalitly y> 2/3x -1
    15·1 answer
  • What is the quotient of 8 divided by 1/3
    10·1 answer
  • at freds house, santa ate the same number of suger cookies and chocolate chip cookies. Twice the number of sugar cookies he ate
    5·2 answers
  • Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. If she continues at this rat
    13·1 answer
  • Sally's income per month is $1500. She wants to create a budget to be able to afford everything. How much can she spend on "fun"
    11·1 answer
  • Savannah is writing an article for the school paper on the next school election. She surveys 20 of her friends and finds that 17
    12·1 answer
  • Please help me it’s math iready for a 7th grader
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!