∫ 225*tan(047x-1557)+665 wrt x eching

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

Baholash

$$-225\tan(1557)x+665x+С$$

Yechim qadamlari

0 hosil qilish uchun 0 va 47 ni ko'paytirish.

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

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

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

-1557 olish uchun 0 dan 1557 ni ayirish.

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

\int a\mathrm{d}x=ax umumiy integrallar qoidasi jadvalidan foydalanib, \frac{225\sin(-1557)}{\cos(-1557)}+665 integralini toping.

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

Qisqartirish.

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

Агар F\left(x\right)f\left(x\right) ning dastlabki holati boʻlsa, u holatda f\left(x\right) ning barcha dastlabki holatlari toʻplami F\left(x\right)+C tarafidan belgilanadi. Shu sababli natijaga C\in \mathrm{R} integrallash konstantasini qoʻshing.

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

x ga nisbatan hosilani topish

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