Question

Evaluate the integral ((1/v^9)+(10/v))dv

Answer 1

anti derivative of \(\frac{1}{v}\) is \(\ln(v)\) as a start

Answer 2

\[\int\limits (\frac{1}{v^9}+\frac{10}{v})dv\]
\[\int\limits (v^{-9}+\frac{10}{v})dv\]
\[\large =-\frac{1}{8}v^{-8}+10\ln v +C\]

Answer 3

\[\large =-\frac{1}{8v^8}+10\ln v +C\]

Answer 4

@Azteck can you help me with (-8x+8)^-2dx
I'm getting (-8x+8)^-1/8 +c ( i don't think this is wrong

Answer 5

@Azteck right**

Answer 6

You left out a minus sign.

Answer 7

\[-\frac{1}{8}(-8x+8)^{-1}+C\]
\[-\frac{1}{8(-8x+8)}+C\]

Answer 8

@Azteck Thanks

Answer 9

No worries.