Find the Value of the Integral $\int _ { 0 } ^ { 1 } \frac { x ^ { 2 } } { \left( x ^ { 3 } + 1 \right) ^ { 2 } } d x$

question 209

Multiple Choice

Find the value of the integral $\int _ { 0 } ^ { 1 } \frac { x ^ { 2 } } { \left( x ^ { 3 } + 1 \right) ^ { 2 } } d x$

• A) \(\frac { 3 } { 4 }\)
• B)2
• C) \(\frac { 3 } { 7 }\)
• D)
• \(\frac { 7 } { 3 }\)
• E) \(\frac { 1 } { 6 }\)
• F) \(\frac { 3 } { 2 }\)
• G) \(\frac { 2 } { 3 }\)
• H)1

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