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]
2 years ago
6

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

Mathematics
1 answer:
stepladder [879]2 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
A watering can dispenses water at the rate of 0.25 gallon per minute. The original volume of water in the can was 6 gallons. Whi
nydimaria [60]

I believe the answer should be A {(1, 6.0),(2, 5.75),(3, 5.50)}

4 0
3 years ago
Please show the work
Alex Ar [27]

Step-by-step explanation:

15t + 30 = 20t | -15t

30 = 5t

t = 30/5 = 6

20 + 5t = -6t + 86 | + 6t

20 + 11t = 86 | -20

11t = 66

t = 6

18t + 20 = 24t + 50 | -18t

20 = 6t + 50 | -50

-30 = 6t

t = -30/6 = -5

18t - 2 = 10t + 54 | -10t

8t - 2 = 54 | +2

8t = 56

t = 56/8 = 7

7t - 5 = 15t + 91 | -7t

-5 = 8t + 91 | -91

-96 = 8t

t = -96/8 = -12

5 0
1 year ago
rewrite the polynomial 2y^2+ 6y^3-11-17y^4+8y^5 in the standard form also find its degree and coefficient of y^4
OleMash [197]

Answer:

The standard form is  8 y ⁵ - 17 y⁴ + 6 y³ +2 y² - 11

The degree of given polynomial is '5'

the co-efficient of  y⁴  is '-17'

Step-by-step explanation:

Given standard form 2 y²+ 6 y³-11-17 y⁴+8 y⁵

<em>The form ax² + b x + c is called the standard form of the quadratic expression of 'x'.This is second degree standard form of polynomial.</em>

<em>The form ax⁵ + b x⁴ + c x³ +d x² +ex +f  is called the standard form of the quadratic expression of 'x'.This is fifth degree standard form of polynomial</em>

now Given polynomial is  2 y²+ 6 y³-11-17 y⁴+8 y⁵

The standard form is

                                8 y ⁵ - 17 y⁴ + 6 y³ +2 y² - 11

<u><em>Conclusion</em></u>:-

<em>The degree of given polynomial is '5'</em>

<em>The co-efficient of  y⁴  is '-17'</em>

<em>   </em>

5 0
3 years ago
Write the value f (1) =1 in an order pair
kenny6666 [7]

Answer:

(1, 1)

Step-by-step explanation:

7 0
3 years ago
6x6=(6x6) + (6x6)<br> So, 6x6= ___ + ____
Annette [7]

Answer:

(6×6) + (6×6)

36. + 36 = 72

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which is constant term in the equation given in standard from 5x+3y=15
    15·1 answer
  • When f(x)=4, what is th<br>0​
    10·1 answer
  • Graph h (x) = 3 cos (2x) - 1 Use 3.14 for T. Use the sine tool to graph the function. The first point must be on the midline and
    11·1 answer
  • Penelope bakes pretzels. She salts 3/8 of the pretzels. Which fraction is equivalent to 3/8? (Show work)
    6·2 answers
  • What is the place value of the diget 8 in the decimal number 0.837
    11·2 answers
  • Han ran 10 meters in 2.7 seconds. Priya ran 10 meters in 2.4 seconds. How long would it take han to run 50 meters.
    11·1 answer
  • 10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
    12·1 answer
  • PLEASE HELP ME I'VE BEEN STUCK ON THIS FOR SO LONG
    8·1 answer
  • I am DESPERATE!!! PLEAAASE!! I WILL DIEEEE
    12·2 answers
  • PLEASE HELP!!!!!!!!! LOOK AT PIC, THANKS!!!!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!