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
vladimir2022 [97]
3 years ago
9

If f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10, evaluate the integral from 2 to 8 of 2

times f of 2 times x, dx.
Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0

Answer: 10

Step-by-step explanation:

Since integral from 1 to 4 of f(x) =10

To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method

Let U = 2x, dU = 2dx, dx = dU/2

Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.

Since this limit are the same as the limit for the question,

Therefore, F(4) - F(1) = F(8) - F(2) = 10

Substituting dx=dU/2

Gives,

Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10

You might be interested in
An orange has 20 fewer calories
Andreyy89

Answer:

90 calories in a banana.

Step-by-step explanation:

O = B - 20     where  O is the number calories in an orange and B is a that in  banana.

Also 7B = 9O

From the above   O = 7B / 9 so substituting in the first equation:

7B / 9 = B - 20

7B = 9B - 180

2B = 180

B = 90.

7 0
3 years ago
Can somebody help me out with the question
Evgen [1.6K]

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need help in problem 8 plz help me I need a a
iogann1982 [59]
Here are three ways where There could be equal rows

3*12=36
4*9=36
6*6=36
6 0
3 years ago
15.
abruzzese [7]

<span>Another name for an if-then statement is a ____. Every conditional has two parts. The part following if is the ____ , and the part following then is the ____.
</span>
<span>conditional; hypothesis; conclusion

16 ) </span><span>If a triangle has three sides, then all triangles have three sides</span>
7 0
3 years ago
Read 2 more answers
(: IF U HELP ME U WILL GET POINTS, A STAR AND A THANK YOU AND U WILL ALSO GET BRAINLIST! (MATH) :)
kumpel [21]

Answer:    

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Drag an answer to each box to complete this paragraph proof.
    9·2 answers
  • Which polynomial represents the sum below?
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=80%20-%202w%20%5Cgeqslant%2050" id="TexFormula1" title="80 - 2w \geqslant 50" alt="80 - 2w \ge
    8·1 answer
  • Convert the following into mm 465cm =
    10·1 answer
  • What is the slope of the line represented by the equation y= -2/35x?
    11·1 answer
  • Solving Systems by Elimination
    9·1 answer
  • What’s the answer and how to get it done without me
    13·2 answers
  • In the figure shown, what additional information is needed to show that △ABC≅△DEF by ASA?
    12·2 answers
  • Point X outside a circle is 34 cm from the center of the circle.
    13·1 answer
  • Can anyone help me evaluate this f(x)=8+4x the functions are 0 and -2.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!