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Integral of (x^3+2)/(-2x+2+x^2)

\int\frac{x^3+2}{x^2-2x+2}dx

Step by step solution

Problem

$\int\frac{x^3+2}{x^2-2x+2}dx$

Show full step-by-step solution

Answer

$\frac{1}{2}x^2+\int\frac{2}{x^2-2\left(x-1\right)}dx$
$\int\frac{x^3+2}{x^2-2x+2}dx$

Main topic:

Integral calculus

Used formulas:

5. See formulas

Time to solve it:

0.74 seconds