Whakaoti i te ∫ 1/x wrt x

$$\int{ \frac{1}{x} }d x$$

Aromātai

$$\ln(|x|)+С$$

Ngā Upane Otinga

Whakamahia te \int \frac{1}{x}\mathrm{d}x=\ln(|x|) mai i te ripanga o ngā tau tōpū pātahi kia whakaputa i te huanga.

$$\ln(|x|)$$

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.

$$\ln(|x|)+С$$

Kimi Pārōnaki e ai ki x

$$\frac{1}{x}$$