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ÔN TẬP NGUYÊN HÀM TÍCH PHÂN

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

 sinxdx =\int^{ }\sin xdx\ =  

a)

 cosx+C\cos x+C  

b)

 cosx+C-\cos x+C  

c)

 sinx+C\sin x+C  

d)

 sinx+C-\sin x+C  

2.

 cosxdx=\int_{ }^{ }\cos xdx=  

a)

 cosx+C-\cos x+C  

b)

 cosx+C\cos x+C  

c)

 sinx+C-\sin x+C  

d)

 sinx+C\sin x+C  

3.

 1cos2xdx=\int\frac{1}{\cos^2x}dx=  

a)

 tanx+C\tan x+C  

b)

 tanx+C-\tan x+C  

c)

 cotx+C\cot x+C  

d)

 cotx+C-\cot x+C  

4.

 1sin2xdx=\int_{ }^{ }\frac{1}{\sin^2x}dx=  

a)

 tanx+C\tan x+C  

b)

 cotx+C\cot x+C  

c)

 tanx+C-\tan x+C  

d)

 cotx+C-\cot x+C  

5.

 1xdx =\int_{ }\frac{1}{x}dx\ =  

a)

 lnx+C\ln\left|x\right|+C  

b)

 lnx+C\ln x+C  

6.

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

a)

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

b)

 lnax+b+C\ln\left|ax+b\right|+C  

7.

 exdx=\int e^xdx=  

a)

 ex+Ce^x+C  

b)

 ex+C-e^x+C  

8.

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

a)

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

b)

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

9.

 xαdx=    ,(α1)\int_{ }^{ }x^{\alpha}dx=\ \ \ \ ,\left(\alpha\ne-1\right)  

a)

 αx(α1)+C\alpha x^{\left(\alpha-1\right)}+C  

b)

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

10.

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

a)

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

b)

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

11.

Cho hàm số  ff  xác định trên  KK  . Hàm số  FF  được gọi là nguyên hàm của  ff  trên  KK  nếu

a)

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

b)

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

12.

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

a)

 [f(x)+g(x)]dx=f(x)dx+g(x)dx\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)

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

c)

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

13.

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

a)

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

b)

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

14.

 axdx=      (0<a1)\int_{ }^{ }a^xdx=\ \ \ \ \ \ \left(0<a\ne1\right)  

a)

 axlna+C\frac{a^x}{\ln a}+C  

b)

 axlnaa^x\ln a  

15.

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

a)

 x2+Cx^2+C 

b)

 x+Cx+C