Question

How do you solve this problem?

Answer 1

$\bf \displaystyle \int \left( 4+\cfrac{5}{t}+\cfrac{10}{t^2} \right)dt\\\\ -----------------------------\\\\ \displaystyle \int 4 \cdot dt+5\int \cfrac{1}{t}\cdot dt+10\int t^{-2}\cdot dt \implies 4t+5ln|t|-\cfrac{10}{t}+C$