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$\text { Use partial fractions to find } \int \frac { 6 x ^ { 2 } + 14 x - 3 } { x ^ { 3 } + 3 x ^ { 2 } } d x$

Question 8

Multiple Choice

A) $\int \frac { 6 x ^ { 2 } + 14 x - 3 } { x ^ { 2 } ( x + 3 ) } d x = \ln \left| x ^ { 6 } + 3 x ^ { 5 } \right| + C$
B) $\int \frac { 6 x ^ { 2 } + 14 x - 3 } { x ^ { 2 } ( x + 3 ) } d x = \frac { 1 } { x } + \left( x ^ { 6 } + 3 x ^ { 5 } \right) + C$
C) $\int \frac { 6 x ^ { 2 } + 14 x - 3 } { x ^ { 2 } ( x + 3 ) } d x = \frac { 1 } { x } + \ln \left| x ^ { 7 } + x ^ { 5 } \right| + C$
D) $\int \frac { 6 x ^ { 2 } + 14 x - 3 } { x ^ { 2 } ( x + 3 ) } d x = \ln \left| x ^ { 6 } + 5 x ^ { 4 } \right| + C$
E) $\int \frac { 6 x ^ { 2 } + 14 x - 3 } { x ^ { 2 } ( x + 3 ) } d x = \frac { 1 } { x } + \ln \left| x ^ { 6 } + 3 x ^ { 5 } \right| + C$

Use partial fractions to find ∫6x2+14x−3x3+3x2dx\text { Use partial fractions to find } \int \frac { 6 x ^ { 2 } + 14 x - 3 } { x ^ { 3 } + 3 x ^ { 2 } } d x Use partial fractions to find ∫x3+3x26x2+14x−3​dx

Multiple Choice

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$\text { Use partial fractions to find } \int \frac { 6 x ^ { 2 } + 14 x - 3 } { x ^ { 3 } + 3 x ^ { 2 } } d x$

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