Question

Anti-derivative of (1/t^(2)-1/t^(4)) ?

Answer 1

I'll get you started
\[\Large \int\left(\frac{1}{t^2}-\frac{1}{t^4}\right)dt\]
\[\Large \int\left(\frac{1}{t^2}\right)dt-\int\left(\frac{1}{t^4}\right)dt\]
\[\Large \int\left(t^{-2}\right)dt-\int\left(t^{-4}\right)dt\]

Answer 2

ok I got -t^(-1)-((-1/3)t^(-3)) is that right?

Answer 3

correct,
\[\Large \int\left(\frac{1}{t^2}-\frac{1}{t^4}\right)dt\]
\[\Large \int\left(\frac{1}{t^2}\right)dt-\int\left(\frac{1}{t^4}\right)dt\]
\[\Large \int\left(t^{-2}\right)dt-\int\left(t^{-4}\right)dt\]
\[\Large -t^{-1} +\frac{1}{3}t^{-3}+C\]
\[\Large -\frac{1}{t}+ \frac{1}{3t^{3}}+C\]

Answer 4

OK I got it now. Thank you so much :)

Answer 5

you're welcome