i need the steps and i know the answer is 4/7(x+2)^7/4-8/3(x+2)^3/4 + C
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Let u = x + 2
du = dx
∫ (u - 2) / ⁴√(u) du
∫ [u^(3/4) - 2u^(-1/4)] du
(4/7)u^(7/4) - 2(4/3)u^(3/4) + c
(4/7)(x + 2)^(7/4) - (8/3)(x + 2)^(3/4) + c
du = dx
∫ (u - 2) / ⁴√(u) du
∫ [u^(3/4) - 2u^(-1/4)] du
(4/7)u^(7/4) - 2(4/3)u^(3/4) + c
(4/7)(x + 2)^(7/4) - (8/3)(x + 2)^(3/4) + c