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
marissa [1.9K]
3 years ago
6

Use integration by parts to find the integrals in Exercise. ∫(4x-12)e-8x dx.

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

Answer:

e(2x^{2} -12x)-4x^{2}+C

Step-by-step explanation:

We have been given an indefinite integral as \int \left(4x-12\right)e-8x\:dx. We are asked to find the given integral.

Let us solve our given problem.

\int \left(4x-12\right)e\:dx-\int 8x\:dx

Take out constant:

e\int \left(4x-12\right)\:dx-8\int x\:dx

e(\int 4x\:dx -\int 12\right\:dx)-8\int x\:dx

e(\frac{4x^{1+1}}{2} -12x)-8*\frac{x^{1+1}}{1+1}+C

e(\frac{4x^{2}}{2} -12x)-8*\frac{x^{2}}{2}+C

e(2x^{2} -12x)-4x^{2}+C

Therefore, our required integral would be e(2x^{2} -12x)-4x^{2}+C.

You might be interested in
Volume = cm3 cylinder
Citrus2011 [14]
That is true but that’s not all units that are known for volume
4 0
3 years ago
18-3<br> -18-3<br> -18-(-3)<br> 18-(-3)
Marina CMI [18]

Answer:

1.) 15

2.) -21

3.) -15

4.) 21

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Use the elimination method to solve the system of equations. Choose the correct ordered pair. 
kiruha [24]
5x+3y=58
5x-3y=22
(3y gets cancelled bc 3y-3y=0,  then add 5x with 5x, so you're left with)
10x=80, (divide both sides by 10)
x=8
Now we look for y. So choose one formula from the two (let's say 5x + 3y=58)
Substitute x for 8 so it will look like---- 5(8)+3y=58
Multiply 5*8--- so you get --  40+3y=58
Subtract 40 from both sides and you're left with 3y=18
divide both sides by 3
you get y=6
In conclusion, x=8 and y=6 hence, (8,6)


5 0
3 years ago
Read 2 more answers
1. Given the equation (x – 3)2 – 32 = 17 a)
m_a_m_a [10]
We know that

The square root property<span> is one method that is used to find the solutions to a quadratic equation.  This method involves taking the square roots of both sides of the equation.  
</span>(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> <span>will take the square root of each side
</span>so
√(x – 3)²=(+-)√7²------> <span>notice the use of the </span> sign (+-), this will give us both a positive and<span>  a negative root
</span>
then

x-3=7--------> x=10
x-3=-7-------> x=-4

the answer Part a) is
x=10
x=-4

Part b) Explain why the given equation has two solutions.

the answer part b) is
Because exist<span> the possibility of two roots for every square root, one positive and one negative</span>
6 0
3 years ago
Find the value of X 90 58 122 32 <br> PLEASE ANSWER NOWW<br> 20pts
Viktor [21]

Answer:

58

Step-by-step explanation:

The two angles are equal

5 0
3 years ago
Read 2 more answers
Other questions:
  • How to write ten and twenty-four hundredths
    8·1 answer
  • I need to know what the answer is please ?
    9·1 answer
  • How do I find x here?
    12·1 answer
  • Kira, goran, &amp; joe sent a total of 90 text messages during the weekend. Goran sent 5 fewer messages than Kira. Joe sent 3 ti
    9·1 answer
  • 20 points plus Brainly Find the measure of missing angle.
    10·1 answer
  • Ava solved the compound inequality+7&lt;-1 or 2x-129 for all possible values of x. Which graph represents
    11·1 answer
  • Solve 3 x 26 below by drawing place value models by typing the answer.
    11·2 answers
  • PLEASE HELP I HAVE 15 MINUTES LEFT HELP HELP PLEASE
    12·2 answers
  • What number is missing from the data set if the mean is 16? 14 12 19 X
    14·1 answer
  • Help!!!! Will give Brainly
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!