Valishati Valishati

Today at 2:34 AM
Mathematics

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Which of the following u-substitutions for ∫ (x(x+2)^2)/(sqrt(x))dx results in 2∫u^(2)(u^(2)+2)^(2)du?

Which of the following u-substitutions for ∫ (x(x+2)^2)/(sqrt(x))dx results in 2∫u^(2)(u^(2)+2)^(2)du? class=

Answer :

amna04352 amna04352

Today at 2:40 AM

Answer:

A

Step-by-step explanation:

u = sqrt(x)

x = u²

dx/du = 2u

dx = 2u × du

x(x+2)²/sqrt(x) . dx

u² × (u²+2)]/u × 2udu

2 × u²(u²+2).du

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