$\text { Use integration tables to find the integral } \int \sqrt [ 4 ] { x } \arctan x ^ { 5 / 4 } d x \text {. }$

question 50

Multiple Choice

$\text { Use integration tables to find the integral } \int \sqrt [ 4 ] { x } \arctan x ^ { 5 / 4 } d x \text {. }$

• A) \(x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) + \ln \sqrt { 1 + x ^ { 5 / 2 } } + C\)
• B) \(\frac { 5 } { 4 } \left[ x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) + \ln \sqrt { 1 + x ^ { 5 / 2 } } \right] + C\)
• C) \(\frac { 1 } { 9 } \left( x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) - \ln \sqrt { 1 + x ^ { 5 / 4 } } \right) + C\)
• D) \(\frac { 4 } { 5 } \left( x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) - \ln \sqrt { 1 + x ^ { 5 / 2 } } \right) + C\)
• E) \(x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) - \ln \sqrt { 1 + x ^ { 5 / 4 } } + C\)

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