Question

Intigrate by substitution​

Answer 1

Step-by-step explanation:

integration ( x^(n-1) / root(a^n + x^n) dx) ------- eqn 1

let t =

$\sqrt{a {}^{n } + x {}^{n} }$

dt = n * x^(n-1) dx

multiply and divide eqn 1 by n

= integration (dt / root (t)) /n

= 2/n root (a^n + x^n) + C