please help me to solve this integration

[Roshdy]

∫1/ ( (x²+a²) √(x²+b²) ) dx

(x²+a²) myliplied by the root of (x²+b²) in the denominator
a & b are two different constants.

 

[Chinaski]

ArcTan[(Sqrt[ b^2-a^2] x)/(a Sqrt[b^2 + x^2])]/(a Sqrt[ b^2-a^2])

For a more general formula see Gradshteyn & Ryzhik 2.283 and 2.284
Hint: Try x/Sqrt[x^2+b^2]=t

 

[RBB]

Just so you are aware you could have pasted your problem into WolframAlpha (https://www.wolframalpha.com/index.html) which will calculate the result for you.

 

[Chinaski]

Sure, but using pencil and paper is more funny. BTW, I'm a Math user since 1992 :wink:

 

[AdvaRes]

Just so you are aware you could have pasted your problem into WolframAlpha (https://www.wolframalpha.com/index.html) which will calculate the result for you.

It is really a very powerfull online tool.