Evaluate the Integral Using Integration by Parts $\int x$ $\sqrt { x + 1 }$

question 54

Multiple Choice

Evaluate the integral using integration by parts.
- $\int x$ $\sqrt { x + 1 }$ dx

• A) \(\frac { 2 } { 3 }\) \(( x + 1 ) ^ { 3 / 2 }\) - \(\frac { 4 } { 15 }\) \(( x + 1 ) ^ { 5 / 2 }\) + C
• B) \(\frac { 2 } { 3 }\) x \(( x + 1 ) ^ { 3 / 2 }\) - \(\frac { 4 } { 15 }\) \(( x + 1 ) ^ { 5 / 2 }\) + C
• C) x \(( x + 1 ) ^ { 3 / 2 }\) - \(( x + 1 ) ^ { 5 / 2 }\) + C
• D) \(( x + 1 ) ^ { 3 / 2 }\) + \(( x + 1 ) ^ { 5 / 2 }\) + C

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