Find the Indefinite Integral of the Following Function and Check $\int \frac { 5 x } { \left( x ^ { 2 } + 5 \right) ^ { 4 } } d x$

question 63

Multiple Choice

Find the indefinite integral of the following function and check the result by differentiation. $\int \frac { 5 x } { \left( x ^ { 2 } + 5 \right) ^ { 4 } } d x$

• A) \(\frac { - 5 } { 6 \left( x ^ { 2 } + 5 \right) ^ { 3 } } + C\)
• B) \(\frac { - 5 } { 6 \left( x ^ { 2 } + 5 \right) ^ { 3 } } + C\)
• C) \(\frac { - 2 } { 6 \left( x ^ { 2 } + 5 \right) ^ { 3 } } + C\)
• D) \(\frac { - 5 } { 6 \left( x ^ { 2 } + 5 \right) ^ { 4 } } + C\)
• E) \(\frac { - 5 } { 6 \left( x ^ { 2 } + 5 \right) ^ { - 3 } } + C\)

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