Whakaoti i te ∫ 225*tan(047x-1557)+665 wrt x

$$\int{ 225 \times \tan ( 047x-1557 ) +665 }d x$$

Aromātai

$$-225\tan(1557)x+665x+С$$

Ngā Upane Otinga

Whakareatia te 0 ki te 47, ka 0.

$$\int 225\tan(0x-1557)+665\mathrm{d}x$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$\int 225\tan(0-1557)+665\mathrm{d}x$$

Tangohia te 1557 i te 0, ka -1557.

$$\int 225\tan(-1557)+665\mathrm{d}x$$

Kimihia te tau tōpū o \frac{225\sin(-1557)}{\cos(-1557)}+665 mā te whakamahi i te ture mō te ripanga o ngā tau tōpū pātahi \int a\mathrm{d}x=ax.

$$\left(\frac{225\sin(-1557)}{\cos(-1557)}+665\right)x$$

Whakarūnātia.

$$\left(-\frac{225\sin(1557)}{\cos(1557)}+665\right)x$$

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.

$$\left(-\frac{225\sin(1557)}{\cos(1557)}+665\right)x+С$$

Kimi Pārōnaki e ai ki x

$$5\left(133-45\tan(1557)\right)$$