Question

Evaluate the integration of x (x + 3)^1/2dx

I tried u-substitution and I've gotten u = x + 3 therefore du = dx and x = u - 3

Which results in the integration of (u - 3) u^1/2du

So now I'm at a loss

Answer 1

substitute uz n+3. . so, dua d(n+3) ...or, anaan and na win3 putting. ha un 3 idricau the integral 0 so, becomes j n(n+3)"?dla = |(4-3) uk in - ] (u.už – 3.uk) dan = 1 lut - 34²) au = 1 ( u 3u²) on = {u} - - 3x4 mənte, Where is the integrating o constant. le = 3 (uh-u 2) te

و . ۱۰ MI- در رم : ( - ) ء ( دول - دبي ) ) . برازم 37 معما به (2+3) - 5 و + لا . " رو + )| . S0) (2+3) /2 e is the integrating constant