Find an antiderivative of the given function.
-$$x ^ { 6 } - \frac { 1 } { x ^ { 6 } }$$
A) $\frac { x ^ { 7 } } { 7 } + \frac { 1 } { 5 x ^ { 5 } }$
B) $\frac { x ^ { 7 } } { 7 } - \frac { 1 } { 7 x ^ { 7 } }$
C) $\frac { x ^ { 7 } } { 6 } - \frac { 1 } { 6 x ^ { 5 } }$
D) $6 x ^ { 5 } + \frac { 1 } { 6 x ^ { 5 } }$

Question

Quizplus · Accepted Answer

To find an antiderivative of $x^6 - \frac{1}{x^6}$, we integrate each term separately. The antiderivative of $x^6$ is $\frac{x^7}{7}$ and the antiderivative of $-\frac{1}{x^6}$ is $\frac{1}{5x^5}$, combining these gives $\frac{x^7}{7} + \frac{1}{5x^5}$.

Find an Antiderivative of the Given Function x6−1x6x ^ { 6 } - \frac { 1 } { x ^ { 6 } }x6−x61​

Find an Antiderivative of the Given Function $x ^ { 6 } - \frac { 1 } { x ^ { 6 } }$