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 Use integration tables to find the integral x4arctanx5/4dx\text { Use integration tables to find the integral } \int \sqrt [ 4 ] { x } \arctan x ^ { 5 / 4 } d x \text {. }

Question 50

Multiple Choice

 Use integration tables to find the integral x4arctanx5/4dx\text { Use integration tables to find the integral } \int \sqrt [ 4 ] { x } \arctan x ^ { 5 / 4 } d x \text {. }


A) x5/4arctan(x5/4) +ln1+x5/2+Cx ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) + \ln \sqrt { 1 + x ^ { 5 / 2 } } + C
B) 54[x5/4arctan(x5/4) +ln1+x5/2]+C\frac { 5 } { 4 } \left[ x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) + \ln \sqrt { 1 + x ^ { 5 / 2 } } \right] + C
C) 19(x5/4arctan(x5/4) ln1+x5/4) +C\frac { 1 } { 9 } \left( x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) - \ln \sqrt { 1 + x ^ { 5 / 4 } } \right) + C
D) 45(x5/4arctan(x5/4) ln1+x5/2) +C\frac { 4 } { 5 } \left( x ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) - \ln \sqrt { 1 + x ^ { 5 / 2 } } \right) + C
E) x5/4arctan(x5/4) ln1+x5/4+Cx ^ { 5 / 4 } \arctan \left( x ^ { 5 / 4 } \right) - \ln \sqrt { 1 + x ^ { 5 / 4 } } + C

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