Evaluate the Integral by Using a Substitution Prior to Integration $$\int x ^ { 2 } \sqrt { x + 5 } d x$$

question 88

Multiple Choice

Evaluate the integral by using a substitution prior to integration by parts.
- $$\int x ^ { 2 } \sqrt { x + 5 } d x$$

• A) \(\frac { \left( 15 x ^ { 2 } - 60 x + 200 \right) ( x + 5 ) ^ { 3 / 2 } } { 105 } + C\)
• B) \(\frac { \left( 30 x ^ { 2 } - 120 x + 80 \right) ( x + 5 ) ^ { 3 / 2 } } { 105 } + C\)
• C) \(\frac { \left( 30 x ^ { 2 } - 120 x + 400 \right) \sqrt { ( x + 5 ) } } { 105 } + C\)
• D) \(\frac { \left( 30 x ^ { 2 } - 120 x + 400 \right) ( x + 5 ) ^ { 3 / 2 } } { 105 } + C\)

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