Tích phân $I=\int\limits_{1}^{3}{\frac{\ln x}{{{(1+x)}^{2}}}dx}$ bằng
A. $-\frac{1}{4}\ln 3+\ln \frac{1}{2}.$ 
B. $-\frac{1}{4}\ln 3.$ 
C. $-\frac{1}{4}\ln 3-\ln \frac{3}{2}.$ 
D. $-\frac{1}{4}\ln 3+\ln \frac{3}{2}.$

 Giá trị của tích phân $\int\limits_{1}^{2}{{\frac{{1+{{x}^{2}}}}{{1+{{x}^{4}}}}dx}}$ bằng?
A. $\ln \left( {\frac{{\sqrt{2}-1}}{{\sqrt{2}+1}}} \right).$
B. $\frac{1}{{2\sqrt{2}}}\ln \left( {\frac{{\sqrt{2}-1}}{{\sqrt{2}+1}}} \right).$
C. $\frac{1}{2}\ln \left( {\frac{{\sqrt{2}-1}}{{\sqrt{2}+1}}} \right).$
D. $\frac{1}{{\sqrt{2}}}\ln \left( {\frac{{\sqrt{2}-1}}{{\sqrt{2}+1}}} \right).$

Choose the best answer for the following sentence:
The house is on fire! Let’s call the ____________ .
A. police 
B. fire 
C. fire barrier 
D. fire brigade

Choose the word that has the underlined part pronounced differently from the rest:  
remote                     control                      connect                      personal   
A. remote                     
B. control                      
C. connect                      
D. personal

Choose the best answer for the following sentence:
The overall situation is good ___________ a few minor problems.
A. but
B. despite
C. even if
D. even though

Choose the correct sentence which is built from the words and phrases given:
He / publish / spelling book / dictionary / changes / way / English was used in the USA.
A. After he published a spelling book and a dictionary which made changes in the way English was used in the USA.
B. He published a spelling book and a dictionary which made changes in the way English was used in the USA.
C. He published a spelling book and a dictionary made changes in the way English was used in the USA.
D.  Due to he published a spelling book and a dictionary which made change in the way English was used in the USA.

Tích phân  $\int\limits_{0}^{2}{\frac{5x-13}{{{x}^{2}}+5x-6}dx}$ bằng
A. $\frac{43}{7}.$
B. $\frac{43}{7}\ln \frac{3}{4}.$
C. $-\frac{43}{7}\ln \frac{4}{3}.$
D. $-\frac{8}{7}.$

A. 3
B. -3
C. 13
D. -13

Tích phân $I=\int\limits_{-1}^{1}{\frac{|x|}{{{x}^{4}}-{{x}^{2}}-12}dx}$ bằng
A. $\frac{2}{7}\ln \frac{4}{3}.$
B. $\frac{2}{7}\ln \frac{3}{4}.$
C. $\frac{1}{7}\ln \frac{3}{4}.$
D. $-\frac{1}{7}\ln \frac{3}{4}.$

Cho hàm số y= f( x) liên tục trên đoạn$\displaystyle \text{ }\!\![\!\!\text{ }a;b\text{ }\!\!]\!\!\text{ }\forall x\in \text{ }\!\![\!\!\text{ }a;b\text{ }\!\!]\!\!\text{ }.$
Tính thể tích khối tròn xoay khi quay hình phẳng giới hạn bởi các đường y= f(x), y= 0 , x=a, x=b quanh Ox. Thể tích V được tính theo công thức:
A. $V=\pi \int\limits_{a}^{b}{{{\text{ }\!\![\!\!\text{ }f(x)\text{ }\!\!]\!\!\text{ }}^{2}}dx}$
B. $V=\pi \int\limits_{a}^{b}{|f(x)|dx}$
C. $V=\int\limits_{a}^{b}{{{f}^{2}}(x)dx}$
D. $V=\pi \int\limits_{a}^{b}{f(x)dx}$