Whakaoti i te ∫ ycosx wrt x

$$\int y \cos x d x$$

Aromātai

$$y\sin(x)+С$$

Ngā Upane Otinga

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

$$y\int \cos(x)\mathrm{d}x$$

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

$$y\sin(x)$$

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.

$$y\sin(x)+С$$

Kimi Pārōnaki e ai ki x

$$y\cos(x)$$