Question

Integrate

Answer 1

\[\int\limits_{}^{}(12\sqrt{x}+5/x^7)dx\]

Answer 2

@Hero

Answer 3

Use power rule.

Answer 4

i got \[12\int\limits_{}^{}\sqrt{x} dx+5/x^7\int\limits_{}^{}1/x dx\]

Answer 5

\[\begin{split}
\int 12\sqrt x+5/x^7\;dx
&= 12\int \sqrt x\;dx + 5\int 1/x^7\;dx \\
&= 12\int x^{1/2}\;dx+5\int x^{-7}\;dx
\end{split}\]