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Set Up an Integral or Sum of Integrals and Then x2x ^ { 2 }

Question 42

Multiple Choice

Set up an integral or sum of integrals and then find the area bounded by y = x2x ^ { 2 } + 3 and y = -5x - 3.


A) 32[(x2+3) (5x3) ]dx\int _ { - 3 } ^ { - 2 } \left[ \left( x ^ { 2 } + 3 \right) - ( - 5 x - 3 ) \right] d x = - 16\frac { 1 } { 6 }
B) 23[(x2+3) (5x3) ]dx\int _ { 2 } ^ { 3 } \left[ \left( x ^ { 2 } + 3 \right) - ( - 5 x - 3 ) \right] d x = 1496\frac { 149 } { 6 }
C) 32[(5x3) (x2+3) ]dx\int _ { - 3 } ^ { - 2 } \left[ ( - 5 x - 3 ) - \left( x ^ { 2 } + 3 \right) \right] d x = 16\frac { 1 } { 6 }
D) 23[(5x3) (x2+3) ]dx\int _ { 2 } ^ { 3 } \left[ ( - 5 x - 3 ) - \left( x ^ { 2 } + 3 \right) \right] d x = - 1496\frac { 149 } { 6 }
E) none of these

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