Question

Find the integral. (5x^(-3) - 4x^(-1))

Answer 1

\[(5x^{-3}-4x ^{-1})\] This is the equation.

Answer 2

Use the ff. formulas:
\[\int x^n\ \text{d}x=\frac{x^{n+1}}{n+1}+C \text{ for }x\neq-1\\
\int x^{-1}\ \text{d}x=\ln|x|+K\]
where C and K are arbitrary constants.

Answer 3

So would it be \[-5/2x^{-2}-4\ln \left| x \right|\]? I get really confused with the natural log when finding the integral.

Answer 4

Yep. That's right.

Answer 5

Awesome! Your a math genius! Thanks again!

Answer 6

And don't forgot the constant btw. :D