3. Find the antiderivative of the function $y=x^{6}$ on the set $\mathbf{R}$.
Solution. The degree $x^{6}$ is obtained when differentiating $x^{7}$. Since $\left(x^{7}\right)^{\prime}=7 x^{6}$, to get a coefficient of 1 before $x^{6}$ when differentiating $x^{7}$, $x^{7}$ needs to be taken with a coefficient of $1 / 7$. Therefore, $F(x)=(1 / 7) x^{7}$.