Integral problem ∫ [2 ~ 0] (4x ^ 3-x ^ 4) ^ (1 / 2) how to calculate DX

Integral problem ∫ [2 ~ 0] (4x ^ 3-x ^ 4) ^ (1 / 2) how to calculate DX

∫ (4x ^ 3-x ^ 4) ^ (1 / 2) DX integral limit 2,0 = ∫ x [(4x-x ^ 2) ^ (1 / 2)] DX = ∫ x [(4 - (X-2) ^ 2] ^ (1 / 2)] dxx-2 = t = ∫ (T + 2) [(4-T ^ 2] ^ (1 / 2)] DT integral limit 0, - 2 = ∫ t [(4-T ^ 2] ^ (1 / 2)] DT integral limit 0, - 2