Evaluate the Integral Using the Given Substitution A) $\frac { 27 } { 4 } \left( y ^ { 6 } + 5 y ^ { 3 } + 2 \right) ^ { 4 } + C$

question 194

Multiple Choice

Evaluate the integral using the given substitution.
- $\int 27 \left( \mathrm { y } ^ { 6 } + 5 \mathrm { y } ^ { 3 } + 2 \right) ^ { 3 } \left( 2 \mathrm { y } ^ { 5 } + 5 \mathrm { y } ^ { 2 } \right) \mathrm { dy } , \quad \mathrm { u } = \mathrm { y } ^ { 6 } + 5 \mathrm { y } ^ { 3 } + 2$

• A) \(\frac { 27 } { 4 } \left( y ^ { 6 } + 5 y ^ { 3 } + 2 \right) ^ { 4 } + C\)
• B) \(\frac { 9 } { 4 } \left( y ^ { 6 } + 5 y ^ { 3 } + 2 \right) ^ { 4 } + C\)
• C) \(27 \left( y ^ { 6 } + 5 y ^ { 3 } + 2 \right) ^ { 2 } + C\)
• D) \(\frac { 27 } { 4 } \left( y ^ { 6 } + 5 y ^ { 3 } + 2 \right) ^ { 4 } \left( 10 y ^ { 4 } + 10 y \right) + C\)

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