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Use Algebra to Rewrite the Integrand; Then Integrate and Simplify x+14xdx\int \frac { x + 14 } { \sqrt { x } } d x

Question 1

Multiple Choice

Use algebra to rewrite the integrand; then integrate and simplify. x+14xdx\int \frac { x + 14 } { \sqrt { x } } d x


A) 23xx+14x+C\frac { 2 } { 3 } x \sqrt { x } + 14 \sqrt { x } + C
B) 23xx+28x+C\frac { 2 } { 3 } x \sqrt { x } + 28 \sqrt { x } + C
C) 23xx+42x+C\frac { 2 } { 3 } x \sqrt { x } + 42 \sqrt { x } + C
D) 12x2+42x+C\frac { 1 } { 2 } x ^ { 2 } + 42 \sqrt { x } + C
E) 12x2+28x+C\frac { 1 } { 2 } x ^ { 2 } + 28 \sqrt { x } + C

Correct Answer:

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