Free Printable NGUYÊN HÀM

1.

$\int^{ }\sin xdx\ =$

a)

$\cos x+C$

b)

$-\cos x+C$

c)

$\sin x+C$

d)

$-\sin x+C$

2.

$\int_{ }^{ }\cos xdx=$

a)

$-\cos x+C$

b)

$\cos x+C$

c)

$-\sin x+C$

d)

$\sin x+C$

3.

$\int_{ }\frac{1}{x}dx\ =$

a)

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

b)

$\ln x+C$

4.

$\int_{ }^{ }\frac{1}{ax+b}dx=$

a)

$\frac{1}{a}\ln\left|ax+b\right|+C$

b)

$\ln\left|ax+b\right|+C$

5.

$\int_{ }^{ }x^{\alpha}dx=\ \ \ \ ,\left(\alpha\ne-1\right)$

a)

$\alpha x^{\left(\alpha-1\right)}+C$

b)

$\frac{x^{\left(\alpha+1\right)}}{\alpha+1}$ +C

6.

$\int e^{\left(ax+b\right)}dx\ =$

a)

$\frac{1}{a}e^{\left(ax+b\right)}+C$

b)

$-\frac{1}{a}e^{\left(ax+b\right)}+C$

7.

$\int_{ }\sin\left(ax+b\right)dx\ =$

a)

$\frac{1}{a}\cos\left(ax+b\right)+C$

b)

$-\frac{1}{a}\cos\left(ax+b\right)+C$

8.

Cho hàm số $f$ xác định trên $K$ . Hàm số $F$ dược gọi là nguyên hàm của $f$ trên $K$ nếu

a)

$f'\left(x\right)=F\left(x\right),\forall x\in K$

b)

$F'\left(x\right)=f\left(x\right),\forall x\in K$

9.

Chọn các khẳng định đúng
Nếu $f,g$ là hai hàm số liên tục trên $K$ thì

a)

$\int_{ }\left[f\left(x\right)+g\left(x\right)\right]dx=\int f\left(x\right)dx+\int g\left(x\right)dx$

b)

$\int kf\left(x\right)dx=k\int f\left(x\right)dx$

c)

$\int_{ }\left[f\left(x\right).g\left(x\right)\right]dx=\int f\left(x\right)dx.\int g\left(x\right)dx$

10.

$\int_{ }\cos\left(ax+b\right)dx\ =$

a)

$\frac{1}{a}\sin\left(ax+b\right)+C$

b)

$-\frac{1}{a}\sin\left(ax+b\right)+C$

11.

$\int_{ }^{ }dx=\int_{ }^{ }1dx=$

a)

$x^2+C$

b)

$x+C$

12.

Nguyên hàm $\int_{ }^{ }e^xdx$ bằng

a)

xe^{x-1}+C

b)

$e^x+C$

c)

$e^xdx$

d)

$e^xdx+C$

13.

Với $a>0\ ,\ a\ne1$ ta có

Nguyên hàm $\int_{ }^{ }a^xdx$ bằng

a)

xa^{x-1}+C

b)

$a^x.\ln a+C$

c)

$a^x+C$

d)

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

14.

Nguyên hàm $\int_{ }^{ }\text{2x}dx$ bằng

a)

x^2+C

b)

$2x^{ }+C$

c)

$2+C$

d)

$2x^2+C$

15.

Nguyên hàm $\int_{ }^{ }\text{x}^2dx$ bằng

a)

x^3+C

b)

$2x^{ }+C$

c)

$\frac{1}{3}x^3+C$

d)

$2x^2+C$

16.

Nguyên hàm $\int_{ }^{ }\text{5x}^2dx$ bằng

a)

5x^3+C

b)

$10x^{ }+C$

c)

$\frac{1}{3}x^3+C$

d)

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

17.

Nguyên hàm $\int_{ }^{ }\text{(2x+1)}dx$ bằng

a)

x^2+1+C

b)

$x^2+x+C$

c)

$x^2-x+C$

d)

$2+C$

18.

Nguyên hàm $\int_{ }^{ }\text{x}^4dx$ bằng

a)

4x^3+C

b)

$x^5+C$

c)

$x^4+C$

d)

$\frac{1}{5}x^5+C$

19.

Nguyên hàm $\int_{ }^{ }\frac{1}{\cos^2x}dx$ bằng

a)

\cos x+C

b)

$\sin x+C$

c)

$\tan x+C$

d)

$\cot x+C$

20.

Nguyên hàm $\int_{ }^{ }\frac{1}{\sin^2x}dx$ bằng

a)

\cos x+C

b)

$\sin x+C$

c)

$\tan x+C$

d)

$-\cot x+C$

21.

Nguyên hàm $\int_{ }^{ }\left(e^x+1\right)dx$ bằng

a)

xe^{x-1}+C

b)

$e^x+x+C$

c)

$\left(e^x+1\right)dx$

d)

$e^xdx+C$

22.

Nguyên hàm $\int_{ }^{ }2^xdx$ bằng

a)

x.2^{x-1}+C

b)

$2^x.\ln2+C$

c)

$2^x+C$

d)

$\frac{2^x}{\ln2}+C$

23.

Nguyên hàm $\int_{ }^{ }\frac{\text{5}}{\text{x}}dx$ bằng

a)

5\ln\left|x\right|+C

b)

$5\ln x+C$

c)

$\frac{5}{x}+C$

d)

$-\frac{5}{x^2}+C$

24.

Nguyên hàm $\int_{ }^{ }\frac{\text{1}}{\text{2x+3}}dx$ bằng

a)

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

b)

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

c)

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

d)

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

NGUYÊN HÀM

Total questions: 24

Worksheet time: 12mins

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