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Kazeer [188]
3 years ago
15

Evaluate the integral (e^x)/((e^2x)+3) from 0 to infinity

Mathematics
1 answer:
elena55 [62]3 years ago
3 0
So, from our equation
u = e^x
du/dx = e^x du = e^xdxthe integral would be: 

du/(u^2 + 3)

Using the boundaries 1 to infinity
As, e^0 = 1.the solution for this integral will be

(1/(3^0.5)) * arctan(u/(3^0.5))Plugging the boundaries

(1/(3^0.5)) * (90 - 30) = 60/(3^0.5)
=0.6046
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In the figure, a∥e , m∥n , and m∠2 = 112°.
MatroZZZ [7]

Answer

Find out the  m∠6  .

To prove

As given

a∥e , m∥n , and m∠2 = 112°.

As  m∥n

a is the transversal (A line that cuts across two or more (usually parallel) lines is called transverasl.)

Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

a∥e and m is transversal .

∠ 3 = ∠6 = 112 ° ( Corresponding angle property )

Therefore

∠6 = 112°

3 0
3 years ago
Read 2 more answers
Select all the equations that are equivalent to this equation.<br> 1/4 (8X + 56) = 20<br> 56 + 8X = 80<br> 14 = 20 – 8x<br> 2X +
Leya [2.2K]
1/4(8x+56)=20
1/4(8x)+1/4(56)=20
2x+14=20
2x=20-14
2x=6
X=3
3 0
2 years ago
The sum of two consecutive integers is − 17 -17. find the numbers
UkoKoshka [18]
I think it might be -76
4 0
3 years ago
Please help
pychu [463]

Answer:

<h2>        y = x² - 1</h2>

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1

6 0
3 years ago
The length and breadth of a rectangular shaped plot is 1215 m and 527 m respectively. Find its perimeter.
ss7ja [257]

Answer:

3484m

Step-by-step explanation:

Add 1215(2) and 527(2) together

4 0
3 years ago
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