Baholash
\frac{2x^{3}}{9}+С
x ga nisbatan hosilani topish
\frac{2x^{2}}{3}
Baham ko'rish
Klipbordga nusxa olish
\frac{2}{3}\int x^{2}\mathrm{d}x
Factor out the constant using \int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x.
\frac{2}{3}\times \frac{x^{3}}{3}
Since \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} for k\neq -1, replace \int x^{2}\mathrm{d}x with \frac{x^{3}}{3}.
\frac{2x^{3}}{9}
Qisqartirish.
\frac{2x^{3}}{9}+С
If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.
Misollar
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Chegaralar
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