Whakaoti i te ∫ 1/-2y wrt y

$$\int \frac { 1 } { - 2 y } d y$$

Aromātai

$$-\frac{\ln(|y|)}{2}+С$$

Ngā Upane Otinga

Whakatauwehetia te pūmau mā te whakamahi i te \int af\left(y\right)\mathrm{d}y=a\int f\left(y\right)\mathrm{d}y.

$$\frac{\int \frac{1}{y}\mathrm{d}y}{-2}$$

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

$$\frac{\ln(|y|)}{-2}$$

Whakarūnātia.

$$-\frac{\ln(|y|)}{2}$$

Mēnā ko F\left(y\right) he pārōnaki kōaro o f\left(y\right), kāti ko te huinga o ngā pārōnaki kōaro katoa o f\left(y\right) ka whakaaturia e F\left(y\right)+C. Nō reira, me tāpiri te pūmau o te whakatōpūtanga C\in \mathrm{R} ki te otinga.

$$-\frac{\ln(|y|)}{2}+С$$

Kimi Pārōnaki e ai ki y

$$-\frac{1}{2y}$$