Use Formal Substitution to Find the Indefinite Integral $\int \frac { x ^ { 4 } + 1 } { \sqrt { x ^ { 5 } + 5 x + 6 } } d x$

question 32

Multiple Choice

Use formal substitution to find the indefinite integral $\int \frac { x ^ { 4 } + 1 } { \sqrt { x ^ { 5 } + 5 x + 6 } } d x$ .

• A) \(\frac { 2 } { 5 } \left( x ^ { 5 } + 5 x + 6 \right) + C\)
• B) \(\frac { 1 } { 5 } \sqrt { x ^ { 4 } + 5 x + 6 } + C\)
• C) \(\frac { 2 } { 5 } \sqrt { x ^ { 4 } + 5 x + 6 } + C\)
• D) \(\frac { 2 } { 5 } \sqrt { x ^ { 5 } + 5 x + 6 } + C\)
• E) \(\frac { 1 } { 5 } \left( x ^ { 5 } + 5 x + 6 \right) + C\)

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