Integration

aldoo12

New member
Joined
Nov 4, 2021
Messages
1
Hello, im having trouble with this one.
area of limited region f(x)=1/x²+4 and x axis
 

Jomo

Elite Member
Joined
Dec 30, 2014
Messages
11,474
Since you are having trouble with this integration means that you have tried to solve it. Can you share at least one of your attempts so we can see where you are having trouble.
This was all stated in the posting guidelines which I guess you failed to read. If you had read them and followed them you would have received help by now.

You do realize that 1/x^2 + 4 = x^-2 + 4?
 

pka

Elite Member
Joined
Jan 29, 2005
Messages
11,388
Hello, im having trouble with this one.
area of limited region f(x)=1/x²+4 and x axis
Do you mean [imath]\dfrac{1}{x^2+4}~?[/imath] If so, please learn to use grouping symbols!
 

skeeter

Elite Member
Joined
Dec 15, 2005
Messages
3,039
Since the integrand is an even function …

[math]A = 2\int_0^\infty \dfrac{1}{x^2+2^2} \, dx[/math]
are you familiar with the antiderivative of a function with the form [imath]\dfrac{1}{x^2+a^2}[/imath] ?
 
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