jordacapreef jordacapreef
  • 21-11-2016
  • Mathematics
contestada

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

Respuesta :

syed514
syed514 syed514
  • 04-12-2016
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
Answer Link

Otras preguntas

All of the following expressions are equivalent except _____. -4 - y -4 + y -y - 4 -y + (-4)
What is the property of 16+31=31
3 ways government can ensure that the help it offers is received only by the people who are in need
Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer she would pay $2,500 down and $150 each month. At another d
The classic definition of a short story is
Algebraic expression 7plus 6 over k
What was one result of the War of 1812?
How do I make number 11 into an equation?
Which is a right triangle formed using a diagonal through the interior of the cube? triangle ABE triangle ABD triangle ADH triangle ACE
Which category of codes would not be included in the blocks of the digestion system?