Kiểm tra Nguyên hàm Tích phân và ứng dụng

Quiz

•

Mathematics

•

12th Grade

•

Hard

Linh linhcute42b@gmail.com

Used 2+ times

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25 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Cho $f (x), g (x)$ $f\trái(x\phải),\ g\trái(x\phải)$ $f (x), g (x)$ là các hàm số liên tục. Mệnh đề nào sau đây là sai ?

$\int f (x) g (x) đ x = \int f (x) đ x \int g (x) đ x .$ $\int f\left(x\right)g\left(x\right)\mathrm{d}x=\int f\left(x\right)\mathrm{\mathrm{d}}x\int g\left (x\right)\mathrm{d}x.$ $\int f (x) g (x) d x = \int f (x) d x \int g (x) đx ._$

$\int [f (x) + g (x)] đ x = \int f (x) đ x + \int g (x) đ x .$ $\int\left[f\left(x\right)+g\left(x\right)\right]dx=\int f\left(x\right)\mathrm{\mathrm{d}}x+\int g \left(x\right)\mathrm{d}x.$ $\int [f (x) + g (x)] d x = \int f (x) d x + \int g (x) đx ._$

$\int [f (x) - g (x)] đ x = \int f (x) đ x - \int g (x) đ x .$ $\int\left[f\left(x\right)-g\left(x\right)\right]dx=\int f\left(x\right)\mathrm{\mathrm{d}}x-\int g\left(x\right)\mathrm{d}x.$ $\int [f (x) - g (x)] d x = \int f (x) d x - \int g (x) đx ._$

$\int k f (x) đ x = k \int f (x) đ x$ $\int kf\left(x\right)dx=k\int f\left(x\right)\mathrm{\mathrm{d}}x$ $\int k f (x) d x = k \int f (x) d x$ with $k \neq 0.$ $k\ne0.$ $k \neq = 0 .$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Định nghĩa nào sau đây là sai ?

$\int \ln x đ x = \frac{1}{x} + C .$ $\int\ln x\mathrm{\ d}x=\frac{1}{x}+C.$ $\int ln x d x = x + C._$

$\int \cos x đ x = tội x + C .$ $\int\cos x\mathrm{\ d}x=\sin x+C.$ $\int cos x d x = tội x + C._$

$\int đ x = x + C .$ $\int\mathrm{d}x=x+C.$ $\int d x = x + C._$

$\int e^{x} đ x = \frac{1}{x} + C .$ $\int\mathrm{e}^x\mathrm{\ d}x=\frac{1}{x}+C.$ $\int e^{x} d x = x + C._$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Họ nguyên hàm của hàm số $f (x) = rám nắng x$ $f\left(x\right)=\tan x$ $f (x) = rám nắng x$ is

$F (x) = - \ln ∣ \cos x ∣ + C .$ $F\left(x\right)=-\ln\left|\cos x\right|+C.$ $F (x) = - ln ∣ cos x ∣ + C._$

$F (x) = \ln (\cos x) + C .$ $F\left(x\right)=\ln\left(\cos x\right)+C.$ $F (x) = ln (vì x) + C._$

$F (x) = \ln ∣ tội x ∣ + C .$ $F\left(x\right)=\ln\left|\sin x\right|+C.$ $F (x) = ln ∣ tội lỗi x ∣ + C._$

$F (x) = \ln (tội x) + C .$ $F\left(x\right)=\ln\left(\sin x\right)+C.$ $F (x) = ln (tội lỗi x) + C._$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Một nguyên hàm của hàm số $f (x) = 3 x^{2} - 4 x + 3$ $f(x)=3x^2-4x+3$ $f (x) = 3 lần^{2} - 4 x + 3$ as number

$F (x) = x^{3} - 2 x^{2} + 3 x - 4.$ $F(x)=x^3-2x^2+3x-4.$ $F (x) = x^{3} - 2x_^{2} + 3 x - 4 .$

$F (x) = \frac{x^{3}}{3} - \frac{x^{2}}{2} + 3 x + 1.$ $F(x)=\frac{x^3}{3}-\frac{x^2}{2}+3x+1.$ $F (x) = \frac{x}{3} - \frac{x}{2} + 3 x + 1 .$

$F (x) = x^{3} - 4 x^{2} + 3 x - 9.$ $F(x)=x^3-4x^2+3x-9.$ $F (x) = x^{3} - 4 x^{2} + 3 x - 9 .$

$F (x) = 6 x - 4.$ $F (x) = 6 x - 4 .$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Họ nguyên hàm của hàm số $f (x) = 3^{x} + 4$ $f(x)=3^x+4$ $f (x) = 3^{x} + 4$ is

$F (x) = \frac{3^{x}}{\ln 3} + 4 x + C .$ $F(x)=\frac{3^x}{\ln3}+4x+C.$ $F (x) = \frac{3}{ln 3} + 4 x + C._$

$F (x) = 3^{x} + 4 x + C .$ $F(x)=3^x+4x+C.$ $F (x) = 3^{x} + 4 x + C._$

$F (x) = \frac{3^{x + 1}}{x + 1} + 4 x + C .$ $F(x)=\frac{3^{x+1}}{x+1}+4x+C.$ $F (x) = \frac{3 ^{x +}}{x + 1} + 4 x + C._$

$F (x) = \frac{1}{3^{x} \ln 3} + 4 x + C .$ $F(x)=\frac{1}{3^x\ln3}+4x+C.$ $F (x) = 3 ^{x} ln 3 + 4 x + C._$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Kết quả của $\int \frac{đ x}{2 x - 3}$ $\int\frac{\mathrm{d}x}{2x-3}$ $\int \frac{dx}{2 lần - 3}$ is

$\frac{1}{2} \ln ∣ 2 x - 3 ∣ + C .$ $\frac{1}{2}\ln|2x-3|+C.$ $2 ln ∣ 2 x - 3 ∣ + C._$

$\ln ∣ 2 x - 3 ∣ + C .$ $\ln|2x-3|+C.$ $ln ∣ 2 x - 3 ∣ + C._$

$\frac{1}{3} \ln ∣ 2 x - 3 ∣ + C .$ $\frac{1}{3}\ln|2x-3|+C.$ $3 ln ∣ 2 x - 3 ∣ + C._$

$- \frac{1}{3} \ln ∣ 2 x - 3 ∣ + C .$ $-\frac{1}{3}\ln|2x-3|+C.$ $- 3 ln ∣ 2 x - 3 ∣ + C._$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Hàm số nào dưới đây là một hàm nguyên của hàm số $f (x) = e^{4 x - 3}$ $f(x)=\mathrm{e}^{4x-3}$ $f (x) = e^{4 x - 3}$ ?

$y = \frac{1}{4} e^{4 x - 3} + 10.$ $y=\frac{1}{4}\mathrm{e}^{4x-3}+10.$ $y = 4 e^{4x - 3_} + 10 .$

$y = e^{4 x - 3} .$ $y=\mathrm{e}^{4x-3}.$ $y = e^{4 x - 3} .$

$y = 4 e^{4 x - 3} + 9.$ $y=4\mathrm{e}^{4x-3}+9.$ $y = 4 e^{4x - 3_} + 9 .$

$y = - \frac{1}{3} e^{4 x - 3} - 3.$ $y=-\frac{1}{3}\mathrm{e}^{4x-3}-3.$ $y = - 3 e^{4x - 3_} - 3 .$

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