The Laplace Transform Of $\int _ { 0 } ^ { t } \tau ^ { 2 } \cos ( t - \tau ) d \tau$

question 25

Multiple Choice

The Laplace transform of $\int _ { 0 } ^ { t } \tau ^ { 2 } \cos ( t - \tau ) d \tau$ is

• A) \(2 / \left( s ^ { 2 } \left( s ^ { 2 } + 1 \right) \right)\)
• B) \(1 / \left( s ^ { 2 } \left( s ^ { 2 } + 1 \right) \right)\)
• C) \(2 / \left( s ^ { 3 } \left( s ^ { 2 } + 1 \right) \right)\)
• D) \(6 / \left( s ^ { 2 } \left( s ^ { 2 } + 1 \right) \right)\)
• E) \(6 / \left( s ^ { 3 } \left( s ^ { 2 } + 1 \right) \right)\)

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