Evaluate the Integral $\int x \left( 5 x ^ { 2 } + 2 \right) ^ { 3 } \mathrm {~d} x$

question 46

Multiple Choice

Evaluate the integral. $\int x \left( 5 x ^ { 2 } + 2 \right) ^ { 3 } \mathrm {~d} x$

• A) \(\frac { ( 5 x + 2 ) ^ { 2 } } { 5 } + C\)
• B) \(\frac { x \left( 5 x ^ { 2 } + 2 \right) ^ { 4 } } { 40 } + C\)
• C) \(\frac { \left( 5 x ^ { 2 } + 2 \right) ^ { 4 } } { 40 } + C\)
• D) \(\frac { \left( 5 x ^ { 2 } + 2 \right) ^ { 4 } } { 20 } + C\)
• E) \(\frac { \left( 5 x ^ { 2 } + 2 \right) ^ { 4 } } { 40 }\)

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