Final Answer
Step-by-step Solution
Specify the solving method
Divide $x^4-3x$ by $x^3-4x^2-5x$
Learn how to solve logarithmic differentiation problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{3}-4x^{2}-5x\phantom{;};}{\phantom{;}x\phantom{;}+4\phantom{;}\phantom{;}}\\\phantom{;}x^{3}-4x^{2}-5x\phantom{;}\overline{\smash{)}\phantom{;}x^{4}\phantom{-;x^n}\phantom{-;x^n}-3x\phantom{;}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{3}-4x^{2}-5x\phantom{;};}\underline{-x^{4}+4x^{3}+5x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{4}+4x^{3}+5x^{2};}\phantom{;}4x^{3}+5x^{2}-3x\phantom{;}\phantom{-;x^n}\\\phantom{\phantom{;}x^{3}-4x^{2}-5x\phantom{;}-;x^n;}\underline{-4x^{3}+16x^{2}+20x\phantom{;}\phantom{-;x^n}}\\\phantom{;-4x^{3}+16x^{2}+20x\phantom{;}-;x^n;}\phantom{;}21x^{2}+17x\phantom{;}\phantom{-;x^n}\\\end{array}$
Learn how to solve logarithmic differentiation problems step by step online. Find the integral int((x^4-3x)/(x^3-4x^2-5x))dx. Divide x^4-3x by x^3-4x^2-5x. Resulting polynomial. Expand the integral \int\left(x+4+\frac{21x^{2}+17x}{x^3-4x^2-5x}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdx results in: \frac{1}{2}x^2.