Matematyka
Całka z funkcji (x^3-2x^2+2x)/(x^2+1)
| $f(x) =$ | $\dfrac{{x}^{3}-2{x}^{2}+2x}{{x}^{2}+1}$ |
|---|---|
| $\displaystyle\int{f(x)}\, \mathrm{d}x =$ | $\dfrac{\ln\left({x}^{2}+1\right)}{2}+2{\cdot}\arctan\left(x\right)+\dfrac{{x}^{2}-4x}{2}$ |
| $f(x) =$ | $\dfrac{{x}^{3}-2{x}^{2}+2x}{{x}^{2}+1}$ |
|---|---|
| $\displaystyle\int{f(x)}\, \mathrm{d}x =$ | $\dfrac{\ln\left({x}^{2}+1\right)}{2}+2{\cdot}\arctan\left(x\right)+\dfrac{{x}^{2}-4x}{2}$ |