Final Answer
Step-by-step Solution
Specify the solving method
Divide $x^4-2x^2+4x+1$ by $x^3-x^2-x+1$
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$\begin{array}{l}\phantom{\phantom{;}x^{3}-x^{2}-x\phantom{;}+1;}{\phantom{;}x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{;}x^{3}-x^{2}-x\phantom{;}+1\overline{\smash{)}\phantom{;}x^{4}\phantom{-;x^n}-2x^{2}+4x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{3}-x^{2}-x\phantom{;}+1;}\underline{-x^{4}+x^{3}+x^{2}-x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{4}+x^{3}+x^{2}-x\phantom{;};}\phantom{;}x^{3}-x^{2}+3x\phantom{;}+1\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{3}-x^{2}-x\phantom{;}+1-;x^n;}\underline{-x^{3}+x^{2}+x\phantom{;}-1\phantom{;}\phantom{;}}\\\phantom{;-x^{3}+x^{2}+x\phantom{;}-1\phantom{;}\phantom{;}-;x^n;}\phantom{;}4x\phantom{;}\phantom{-;x^n}\\\end{array}$
Learn how to solve problems step by step online. Find the integral int((x^4-2x^24x+1)/(x^3-x^2-x+1))dx. Divide x^4-2x^2+4x+1 by x^3-x^2-x+1. Resulting polynomial. Simplify the expression inside the integral. The integral \int xdx results in: \frac{1}{2}x^2.