∫ (from -1 to 3) of 3(-20)left|-20-4right| wrt x= eching

$$\int_{ -1 }^{ 3 } 3(-20) \left| -20-4 \right| d x =$$

Baholash

$$-5760$$

Yechim qadamlari

-60 hosil qilish uchun 3 va -20 ni ko'paytirish.

$$\int _{-1}^{3}-60|-20-4|\mathrm{d}x$$

-24 olish uchun -20 dan 4 ni ayirish.

$$\int _{-1}^{3}-60|-24|\mathrm{d}x$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -24 ning mutloq qiymati 24 ga teng.

$$\int _{-1}^{3}-60\times 24\mathrm{d}x$$

-1440 hosil qilish uchun -60 va 24 ni ko'paytirish.

$$\int _{-1}^{3}-1440\mathrm{d}x$$

Avval noaniq integralni baholang.

$$\int -1440\mathrm{d}x$$

\int a\mathrm{d}x=ax umumiy integrallar qoidasi jadvalidan foydalanib, -1440 integralini toping.

$$-1440x$$

Xos integral bu integral hisoblashning yuqori chegarasida hisoblangan ifodaning boshlangʻich holatidan chiqarib tashlagan holda integral hisoblashning quyi chegarasida hisoblangan ifodaning boshlangʻich holatidir.

$$-1440\times 3+1440\left(-1\right)$$

Qisqartirish.

$$-5760$$