Whakaoti i te ∫ sqrt{3^6*5^2}

$$\int \sqrt { 3 ^ { 6 } \cdot 5 ^ { 2 } }$$

Aromātai

$$135x+С$$

Ngā Upane Otinga

Tātaihia te 3 mā te pū o 6, kia riro ko 729.

$$\int \sqrt{729\times 5^{2}}\mathrm{d}x$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\int \sqrt{729\times 25}\mathrm{d}x$$

Whakareatia te 729 ki te 25, ka 18225.

$$\int \sqrt{18225}\mathrm{d}x$$

Tātaitia te pūtakerua o 18225 kia tae ki 135.

$$\int 135\mathrm{d}x$$

Kimihia te tau tōpū o 135 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.

$$135x$$

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.

$$135x+С$$

Kimi Pārōnaki e ai ki x

$$135$$