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

How many solutions does 5x+3=2x-3
Identify the muscle marked by the star (*): *
What is the average speed of a bird that flies 1.55 km in 30 minutes
Place the following in order numbers in order from least to greatest 3.75 4.42 4.09 3.09 4.04
Which excerpt from "The Evacuation" is the best example of the author's personal theme during her evacuation to Cornwall? Can you imagine people doing that toda
John poured ¾ of juice from a 2-liter bottle while serving guest at a party. How much juice, in liters , is left in the bottle?​
why or why not you think Martin Luther king day is necessary. If you believe its necessary, include a couple of reasons why people may have an issue with it an
4/5 divide (-2/9) = plz i need help hurry
Find the value of tan(30).
This institution has historically served as the principal vehicle through which the money supply of the United States is expanded or contracted. This practice c