Find an antiderivative of the given function.
-$\frac { 4 } { 7 } x ^ { 6 / 7 }$
A) $\frac { 2 } { 3 } x ^ { 13 / 6 }$
B) $\frac { 4 } { 13 } x ^ { 13 / 7 }$
C) $\frac { 4 } { 13 } \mathrm { x } ^ { 13 / 6 }$
D) $\frac { 4 } { 7 } \mathrm { x } ^ { 13 / 7 }$

Question

Quizplus · Accepted Answer

To find an antiderivative of $\frac{4}{7}x^{6/7}$, we apply the power rule for integration, which involves adding 1 to the exponent and dividing by the new exponent. The correct antiderivative is $\frac{4}{7} \cdot \frac{1}{(6/7)+1}x^{(6/7)+1} = \frac{4}{13}x^{13/7}$.

Find an Antiderivative of the Given Function 47x6/7\frac { 4 } { 7 } x ^ { 6 / 7 }74​x6/7

Find an Antiderivative of the Given Function $\frac { 4 } { 7 } x ^ { 6 / 7 }$