Integration Help (1 Viewer)

[Jonneeh]

Integrate

x^2/(5+x^2)^2

Show I(n) + I(n+2) = 1/(n-1) for

Integral sign (from 0 to 1) X^n/x^2+1 dx

 

[Jonneeh]

Bump =(

 

[Trebla]

Show I(n) + I(n+2) = 1/(n-1) for

Integral sign (from 0 to 1) X^n/x^2+1 dx

Just add the two I(n) + I(n + 2) using their definitions and simplify.

 

[Jonneeh]

Just add the two I(n) + I(n + 2) using their definitions and simplify.

i dont understand what you mean

 

[Trebla]

I(n) = Integral sign (from 0 to 1) X^n/x^2+1 dx
I(n + 2) = Integral sign (from 0 to 1) X^(n+2)/x^2+1 dx
based on what integral they were defined as in the question (no need to evaluate) then just add the two integrals together and simplify