How Do You Integrate 1/x^(1+a)?

[john425]

I need help getting the integral of

1/x^(1+a)

I tried using substitution but it didnt work.
I keep getting x/a. Could someone show
me what I am doing wrong.

 

[Muzza]

I take it "a" is a real constant? Substitution is not necessary. Do you know the integral of x^p (where p is a real number)? Do you see how it can be applied here?

 

[john425]

Oh I see

now I got -(x^-a/a)

is this correct?

 

[Muzza]

+ C of course ;)

 

[john425]

Thank You!