Evaluate the Integral by Using a Substitution Prior to Integration $$\int x \sqrt { 2 - x } d x$$

question 59

Multiple Choice

Evaluate the integral by using a substitution prior to integration by parts.
- $$\int x \sqrt { 2 - x } d x$$

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

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