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
Daniel [21]
3 years ago
7

Why is the answer C?

Mathematics
1 answer:
baherus [9]3 years ago
6 0

Step-by-step explanation:

∫₋₂² (f(x) + 6) dx

Split the integral:

∫₋₂² f(x) dx + ∫₋₂² 6 dx

Graphically, if f(-x) = -f(x), then ∫₋₂² f(x) dx = 0.  But we can also show this algebraically.

Split the first integral:

∫₋₂⁰ f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Using substitution, write the first integral in terms of -x.

∫₂⁰ f(-x) d(-x) + ∫₀² f(x) dx + ∫₋₂² 6 dx

-∫₂⁰ f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Flip the limits and multiply by -1.

∫₀² f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Rewrite f(-x) as -f(x).

∫₀² -f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

-∫₀² f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

The integrals cancel out:

∫₋₂² 6 dx

Evaluating:

6x |₋₂²

6 (2 − (-2))

24

You might be interested in
Which statement is true about the sum of (5y/y^2)+(y-4/5y) ? A: The denominator of the simplified sum is y2 + 5y. B: The denomin
lora16 [44]

Answer:

Dude the answer is B

Step-by-step explanation:

7 0
3 years ago
Which statement best demonstrates why the following is a non-example of a polynomial?
11Alexandr11 [23.1K]
The following statements <span>demonstrates why the following is a non-example of a polynomial.</span>
1. The expression has a variable raised to a negative exponent. 
2. The expression has a variable in the denominator of a fraction.
3. The expression has a variable raised to a fraction. 
6 0
3 years ago
Evaluate (-5z)^3 . Write your answer using only positive exponents. Evaluate any numerical powers.
Ludmilka [50]

Answer:

-125z³

Step-by-step explanation:

-5 times - 5 = 25 canceling negative

125 times -5 = -125

zXzXz = z to power of 3 =z³

7 0
3 years ago
If y = kx, where k is a constant,<br> and y = 30 when x = 6, what is<br> the value of y when x = 3?
Svetradugi [14.3K]

Answer:

Step-by-step explanation:

Actually it's 11 because 11 is technically the same when added to constant of x =6 = 11

7 0
3 years ago
Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n &gt; 1? 9.6, 4.8, 2.4, 1.2, 0.6, ..
White raven [17]
Hello,

The formula is f(n)= \dfrac{f(n-1)}{2}&#10;&#10;
4 0
3 years ago
Other questions:
  • How many fluid ounces equal 47 gallons
    5·2 answers
  • Is y varies directly as x, and y is 18 when x is 5 witch expression can be used to find the value of y when x is 11?
    7·1 answer
  • What information can be used to compare linear relationships? Explain why.
    5·2 answers
  • Simplify the expression 9x + 7 – x + 3
    8·2 answers
  • Find the annual interest rate.
    10·1 answer
  • Don’t know what the answer is
    11·1 answer
  • Joe and Susan are both 40 years old and hope to have enough money saved to retire by the time they're 65. They deposit $6,000 ea
    6·1 answer
  • 98. Of the students on the track team, 12 do the high jump. Of those students, 14 also do the long jump. What fraction of the st
    8·1 answer
  • Find the total surface area of the cube-shaped gift below
    10·2 answers
  • Can someone help me with this please?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!