Aromātai
\frac{2x^{\frac{5}{2}}}{5}+С
Kimi Pārōnaki e ai ki x
x^{\frac{3}{2}}
Tohaina
Kua tāruatia ki te papatopenga
\int \left(\sqrt{x}\right)^{2}\sqrt{x}\mathrm{d}x
Whakareatia te \sqrt{x} ki te \sqrt{x}, ka \left(\sqrt{x}\right)^{2}.
\int \left(\sqrt{x}\right)^{3}\mathrm{d}x
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.
\frac{2x^{\frac{5}{2}}}{5}
Nā te mea \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} mō te k\neq -1, me whakakapi \int x^{\frac{3}{2}}\mathrm{d}x ki te \frac{2x^{\frac{5}{2}}}{5}.
\frac{2x^{\frac{5}{2}}}{5}+С
Mēnā ko F\left(x\right) he pārōnaki kōaro o f\left(x\right), kāti ko te huinga o ngā pārōnaki kōaro katoa o f\left(x\right) ka whakaaturia e F\left(x\right)+C. Nō reira, me tāpiri te pūmau o te whakatōpūtanga C\in \mathrm{R} ki te otinga.
Ngā Tauira
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