Free Printable Function file

1.

$f\left(x\right)=x^3-3x^2+5$

The integer function of the function are

a)

b)

$3x^2-6x$

c)

$3x^2-6x+C$

d)

$\frac{x^4}{4}-x^3+5x+C$

2.

$Tính\int_{ }^{ }\sin x\ dx\$

a)

Cosx + C

b)

- Cosx + C

c)

- Sinx + C

d)

Sinx + C

3.

$\ \ Hãy$ Tính $\int_{ }^{ }\frac{1}{3x}^{ }dx$

a)

3.ln (x) + C

b)

$\frac{\ln\left(x\right)}{3}+C$

c)

$\frac{\ln\left(x\right)}{3}$

d)

$\frac{\ln\left|x\right|}{3}+C$

4.

$Tính\int e^{2x}dx$

a)

$2.e^{2x}+C$

b)

$\frac{e^{2x}+2021}{2}+C$

c)

$\frac{e^x}{2}+C$

d)

$-\frac{e^{2x}}{2}+C$

5.

$Tính\int2021^xdx$

a)

$2021^x+C$

b)

$\frac{2021^x}{\ln\left(2021\right)}+C$

c)

$\frac{\ln\left(2021\right)}{2021^x}+C$

d)

$\ln\left|2021^x\right|+C$

6.

The integer function of function $f\left(x\right)=3x^2+1$ is

a)

b)

$3x^2+x+C$

c)

$x^3+x+C$

d)

$x^3+x-2$

7.

integer function of function $f\left(x\right)=\sin x-2\cos x$ is?

a)

$F\left(x\right)=\sin x+\cos x+C$

b)

$F\left(x\right)=\cos x+2\sin x+C$

c)

$F\left(x\right)=-\cos x-2\sin x+C$

d)

$F\left(x\right)=\cos x+2\sin x+C$

8.

Hàm số nguyên $f\left(x\right)=\frac{2}{\sin^2x}-2x$ is?

a)

b)

$F\left(x\right)=2\cot x+x^2+C$

c)

$F\left(x\right)=-2\cot x+x^2+C$

d)

$F\left(x\right)=-2\cot x-x^2+C$

9.

Khẳng định nào sau đây là sai ?

a)

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

b)

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

c)

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

d)

$\int\mathrm{e}^x\mathrm{\ d}x=\mathrm{e}^x+C.$

10.

A integer of function $f(x)=3x^2-4x+3$ is number of function

a)

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

b)

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

c)

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

d)

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

11.

Results of $\int\frac{\mathrm{d}x}{2x-3}$ is

a)

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

b)

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

c)

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

d)

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

12.

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

a)

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

b)

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

c)

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

d)

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

13.

With $a>0\ ,\ a\ne1$ ta có

Nguyên function $\int_{ }^{ }a^xdx$ bằng

a)

b)

xa^{x-1}+C

c)

$a^x.\ln a+C$

d)

$a^x+C$

14.

Hàm số nguyên

$f\left(x\right)=\frac{2}{4x-3}$ is

a)

$\frac{1}{4}\ln\left|4x-3\right|+C$

b)

$\frac{1}{2}\ln\left|2x-\frac{3}{2}\right|+C$

c)

$2\ln\left|4x-3\right|+C$

d)

$2\ln\left|2x-\frac{3}{2}\right|+C$

15.

Mệnh đề nào sau đây sai?

a)

b)

\int\sin3x\ dx=\frac{1}{3}\cos3x+C

c)

d)

$\int e^xdx=e^x+C$

16.

If

\int_{ }^{ }f\left(x\right)dx=4x^3+x^2+C

thì number function

f\left(x\right)

bằng

a)

$f\left(x\right)=x^4+\frac{x^3}{3}+Cx$

b)

$f\left(x\right)=12x^2+2x$

c)

$f\left(x\right)=x^4+\frac{x^3}{3}+C$

d)

$f\left(x\right)=12x^2+2x+C$

17.

Tính

\int_{ }\left(\frac{\sqrt{x}}{2}+\frac{2}{\sqrt{x}}\right)dx

a)

b)

c)

$I=\frac{1}{3}\sqrt{x^3}-4\sqrt{x}+C$

d)

$I=-\frac{1}{3}\sqrt{x^3}-4\sqrt{x}+C$

18.

$F\left(x\right)=mx^3+\left(3m+2n\right)x^2+2x-3$

is a integer of function of function

f\left(x\right)=3x^2+10x+2

. Tính mn value

a)

b)

2

c)

3

d)

4

19.

$f\left(x\right)=\sqrt{3x-2}$

A number of function is

a)

b)

c)

$\frac{2}{3}\left(3x+2\right)\sqrt{\left(3x+2\right)}+C$

d)

$\frac{1}{3}\left(3x+2\right)\sqrt{\left(3x+2\right)}+C$

20.

$\int_{ }x\left(x^2+2\right)^{10}dx$ is

a)

$\frac{2\left(x^2+2\right)^{11}}{11}+C$

b)

$\frac{\left(x^2+2\right)^{11}}{22}+C$

c)

$\frac{\left(x^2+2\right)^{11}}{11}+C$

d)

$22\left(x^2+2\right)^{11}+C$

21.

$f\left(x\right)=\frac{1}{x}+\frac{1}{x^3}$ has an integer of they

a)

$\ln x+\frac{4}{x^4}+C$

b)

$\ln x+\frac{1}{2x^2}+C$

c)

$\ln\left|x\right|-\frac{1}{2x^2}+C$

d)

$\ln\left|x\right|-\frac{3}{x^4}+C$

22.

$\int\frac{\cos x}{\sin x+2}dx$ is

a)

$\ln\left(\sin x+2\right)+C$

b)

$-\ln\left|\sin x+2\right|+C$

c)

$\ln\left(\cos x+2\right)+C$

d)

$-\ln\left|\cos x+2\right|+C$

23.

$\int\ \frac{3x^2+2x+1}{x+1}dx$ is

a)

$\frac{3}{2}x^2+x+\ln\left|x+1\right|+C$

b)

$\frac{3}{2}x^2-x-2\ln\left|x+1\right|+C$

c)

$\frac{3}{2}x^2-2x+\ln\left|x+1\right|+C$

d)

$\frac{3}{2}x^2-x+2\ln\left|x+1\right|+C$

24.

$\int\left(\sin x+x\ln x\right)dx$

a)

$-\cos x+\ln x+C$

b)

$-\cos x+\frac{x^2}{2}\ln x+\frac{x^2}{4}+C$

c)

$-\cos x+\frac{x^2}{2}\ln x-\frac{x^2}{4}+C$

d)

$-\cos x+\ln x+x^2+C$

25.

$f\left(x\right)=4x\left(1+\ln x\right)$ the integer of function are

a)

$2x^2\ln x+3x^2$

b)

$2x^2\ln x+x^2$

c)

$2x^2\ln x+3x^2+C$

d)

$2x^2\ln x+x^2+C$

Function file

Total questions: 25

Worksheet time: 25mins

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