Integral va uning tatbiqlari

Question 1

$\int\limits_5^6\left(x-5\right)^4\cdot x\,dx$ integralni hisoblang.

Accepted Answer

$1\frac{1}{6}$

Answer

$1\frac{1}{7}$

Answer

$1\frac{1}{8}$

Answer

$1\frac{1}{9}$

Question 2

$f(x)=\frac{1}{1-\cos(-x+8\pi)}$ funksiyaning boshlang‘ich funksiyasini toping.

Accepted Answer

$-\mathrm{ctg}\,\frac x2+C$

Answer

$\frac12\,\mathrm{tg}\,\frac x2+C$

Answer

$-\frac12\,\mathrm{ctg}\,\frac x2+C$

Answer

$-\mathrm{tg}\,\frac x2+C$

Question 3

$y=\sqrt{x}$, $y=\sqrt{3-2x}$, $y=0$ chiziqlar bilan chegaralangan soha yuzini toping.

Accepted Answer

1

Answer

0

Answer

1,5

Answer

2,5

Question 4

Koordinatalar sistemasida $y=F(x)$ funksiyaning grafigi tasvirlangan (rasm). Ushbu grafikdan foydalanib $\int_0^8|f(x)|\,dx$ integralni hisoblang. Bunda $f(x)=F'(x)$.

Accepted Answer

11

Answer

3

Answer

7

Answer

14

Integral va uning tatbiqlari

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