Nguyên hàm $I=\int{{\frac{{\sin 2xdx}}{{3+4\sin x-\cos 2x}}}}$ bằng?
A.  $\displaystyle \frac{1}{2}\ln |{{\sin }^{2}}x+2\sin x+1|-\frac{1}{{\sin x+1}}+C$
B. $\displaystyle \frac{1}{2}\ln |{{\sin }^{2}}x+2\sin x+1|+\frac{1}{{\sin x+1}}+C$
C. $\displaystyle -\frac{1}{2}\ln |{{\sin }^{2}}x+2\sin x+1|-\frac{1}{{\sin x+1}}+C$
D. $\displaystyle -\frac{1}{2}\ln |{{\sin }^{2}}x+2\sin x+1|+\frac{1}{{\sin x+1}}+C$

Tìm nguyên hàm
$\int{{{{e}^{{1-3x}}}dx}}.$
A. $A.$$-\frac{e}{{3{{e}^{{3x}}}}}+C.$        
B. $B.$$-\frac{{3e}}{{{{e}^{{3x}}}}}+C.$ 
C. $C.$$\frac{{{{e}^{{1-3x}}}}}{3}+C.$   
D. $D.$$\frac{3}{{{{e}^{{1-3x}}}}}+C.$

Tìm nguyên hàm
$\int{{\frac{1}{{{{e}^{{4x}}}}}}}dx.$
A. $A.$ $\frac{1}{{-4}}{{e}^{{-4x}}}+C.$                
B. $B.$ $\frac{1}{4}{{e}^{{-4x}}}+C.$  
C. $C.$ ${{e}^{{-4x}}}+C.$    
D.    $D.$ $\frac{4}{{{{e}^{{4x}}}}}+C.$

Tìm nguyên hàm của hàm số f(x) = 22x.3x.7x.
A. $\frac{{{{{84}}^{x}}}}{{\ln 84}}+C.$
B. $\displaystyle {{84}^{x}}+C.$
C. $\frac{{{{2}^{{2x}}}{{{.3}}^{x}}{{{.7}}^{x}}}}{{\ln 2.\ln 3.\ln 7}}+C.$
D. $\frac{{{{2}^{{2x}}}{{{.3}}^{x}}{{{.7}}^{x}}}}{{\ln 4.\ln 3.\ln 7}}+C.$

Nguyên hàm $\int{x{{e}^{-x}}dx}$ bằng
A. $-x{{e}^{-x}}+{{e}^{-x}}+C.$
B. $-x{{e}^{x}}-{{e}^{-x}}+C.$
C. $x{{e}^{-x}}+{{e}^{-x}}+C.$
D. $-x{{e}^{-x}}+C.$

Tìm nguyên hàm
$\int{{{{5}^{{2x}}}dx}}.$
A. $A.$$\displaystyle {{5}^{{2x}}}+C.$         
B. $B.$$\displaystyle \frac{1}{{10}}{{5}^{{2x}}}+C.$       
C. $C.$$\displaystyle \frac{1}{{\ln 5}}{{5}^{{2x}}}+C.$   
D. $D.$$\displaystyle \frac{1}{{2\ln 5}}{{5}^{{2x}}}+C.$

Tìm nguyên hàm
$\int{{x\sqrt{{1+{{x}^{2}}}}}}dx.$
A. $\displaystyle \frac{1}{2}{{\left( {\sqrt{{1+{{x}^{2}}}}} \right)}^{2}}+C.$  
B. $\displaystyle \frac{1}{3}{{\left( {\sqrt{{1+{{x}^{2}}}}} \right)}^{3}}+C.$  
C. $\frac{{{{x}^{2}}}}{2}{{\left( {\sqrt{{1+{{x}^{2}}}}} \right)}^{2}}+C.$  
D. $\displaystyle \frac{1}{3}{{\left( {\sqrt{{1+{{x}^{2}}}}} \right)}^{2}}+C.$

Tìm nguyên hàm của   
A. 2sinx + cosx + C
B. 2sinx - cosx + C
C. 2(sinx - cosx) + C
D. sinx - cosx + C

Hàm số   có nguyên hàm trên:
A. (0 ; )
B.
C. (  ; 2 )
D.

Tìm nguyên hàm
$P=\int{{\frac{{\sqrt{{{{x}^{2}}+1}}}}{x}dx}}.$
A. $P=x\sqrt{{{{x}^{2}}+1}}-x+C$
B. $P=\sqrt{{{{x}^{2}}+1}}+\ln \left( {x+\sqrt{{{{x}^{2}}+1}}} \right)+C$   
C. $P=\sqrt{{{{x}^{2}}+1}}+\ln \left| {\frac{{1-\sqrt{{{{x}^{2}}+1}}}}{x}} \right|+C$  
D. $\displaystyle A,B,C\begin{array}{*{20}{c}} {} & {sai.} \end{array}$