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
vampirchik [111]
3 years ago
11

Integral Calculation

Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

\frac{4}{3(e^2+1)}

Step-by-step explanation:

We want to evaluate:

\int\limits^1_{-1} {\frac{x^2+1}{e^2+1} } \, dx

This is the same as:

\frac{2}{e^2+1} \int\limits^1_{0} {x^2+1} \, dx

We integrate to obtain:

\frac{2}{e^2+1} (\frac{x^3}{3}+x)|_0^1

We evaluate to obtain:

\frac{2}{e^2+1} (\frac{1^3}{3}+1)=\frac{4}{3(e^2+1)}

You might be interested in
2 fuel tanks with demensions shown have the same volume. what is the value of h?
FromTheMoon [43]
The value of h is two feet.
5 0
3 years ago
A truck has left point A with a speed of 60 mph. After 2 hours a car has left point A with a speed of 90 mph. At what distance f
Grace [21]

Answer:

360 miles

Step-by-step explanation:

When the second car catches up with the first car they will have travelled the same distance which we call x miles.

Speed = distance / time

For first car   60  = x / t       where t = time taken

giving x = 60t

for second car   90 =  x / (t - 2)

giving x =  90t - 180

So equating these 2 equations

60t = 90t - 180

30t = 180

t = 6 hours

So x the distance  =  60t = 360 miles   answer

3 0
3 years ago
Which equation represents the slope intercept form of the line below? Please help I’ll mark correct answer
Semenov [28]

Answer:

it should be B,

Step-by-step explanation:

the y-intercept is where it crosses the y axis, so that is the plus 2,

and the slope is -3/7 because it is down 3 over 7 hope this helps

7 0
3 years ago
Read 2 more answers
A bag contains six real diamonds and five fake diamonds. If six diamonds are picked from the bag at random what is the probabili
NARA [144]

Answer:

((6 choose 4) * (5 choose 2) + (6 choose 5) * (5 choose 1) + (6 choose 6) * (5 choose 0)) / (11 choose 6) = 181/462 = 0.3918

5 0
3 years ago
Is this the right answer?
Viktor [21]
Yes that is correctamundo..............
5 0
3 years ago
Read 2 more answers
Other questions:
  • On Wednesday, Miguel's bank account balance was -$55. On Thursday, his balance was less than that. Use absolute value to describ
    5·1 answer
  • Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.
    11·1 answer
  • 1. Set up the following word problem as a proportion and solve.
    5·1 answer
  • Which word phrase represents the variable expression? 2(n + 4) 
    15·1 answer
  • Which answers are written in function notation
    11·1 answer
  • Sonia has a hat collection. The ratio of white hats to
    7·1 answer
  • Evaluate the function f\left(x\right)=5x+2\mid11-5x\mid-4f(x)=5x+2∣11−5x∣−4 for x = -5.
    14·1 answer
  • Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
    12·1 answer
  • 5th grade math. correct answer will be marked brainliest
    10·2 answers
  • What is the equation of the line that passes through the two points (2,3) and (-2,5)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!