Solve integration

Question

Solve ∫(√𝑎 - √𝑥)² 𝑑𝑥, 𝑎 is a constant.

Answer 1

∫(√𝑎 - √𝑥)² 𝑑𝑥

= ∫(𝑎 - 2√(𝑎𝑥) +𝑥) 𝑑𝑥

= 𝑎 ∫𝑑𝑥 -2√𝑎 ∫√𝑥 𝑑𝑥 + ∫𝑥𝑑𝑥

= 𝑎𝑥 -2√𝑎 • (2/3) 𝑥 ^3/2 +(1/2) 𝑥² + C

= 𝑎𝑥 -(4/3)√𝑎•𝑥 ^3/2 +(1/2) 𝑥² + C