Find an antiderivative of $\pi+x^{6}+\frac{1}{\pi x^{6}}$ .
A) $\pi x+\frac{x^{7}}{7}-\frac{1}{5 \pi x^{5}}+C$
B) $\pi x+\frac{x^{7}}{7}+\frac{1}{7 \pi x^{7}}+C$
C) $\pi x+\frac{x^{7}}{7}+\frac{7}{\pi x^{7}}+C$
D) $\frac{\pi^{2}}{2}+\frac{x^{7}}{7}-\frac{7}{\pi x^{7}}+C$

Question

Quizplus · Accepted Answer

The antiderivative of $\pi$ is $\pi x$, of $x^6$ is $\frac{x^7}{7}$, and of $\frac{1}{\pi x^6}$ is $-\frac{1}{5\pi x^5}$. Adding these together gives $\pi x + \frac{x^7}{7} - \frac{1}{5\pi x^5} + C$.

Find an Antiderivative Of π+x6+1πx6\pi+x^{6}+\frac{1}{\pi x^{6}}π+x6+πx61​ A) πx+x77−15πx5+C\pi x+\frac{x^{7}}{7}-\frac{1}{5 \pi x^{5}}+Cπx+7x7​−5πx51​+C

Find an Antiderivative Of $\pi+x^{6}+\frac{1}{\pi x^{6}}$
A) $\pi x+\frac{x^{7}}{7}-\frac{1}{5 \pi x^{5}}+C$