Výsledky

 95. $\frac12 \ln \left\vert \frac{x}{x+2} \right\vert + c$. 		
 96. $\ln \sqrt{\left\vert \frac{x-1}{x+1} \right\vert} + c$. 


 97. $\ln \vert x\vert - \frac12 \ln(x^2+1) + c$. 		
 98. $\frac{1}{12} \ln \left\vert \frac{(x-1)(x+3)^2}{(x+2)^4} \right\vert + c$. 


 99. $\frac{1}{x+1} + \ln \left\vert \frac{x}{x+1} \right\vert + c$. 		
 100. $\ln \left\vert \frac{(x-1)^4(x-4)^5}{(x+3)^7} \right\vert + c$. 


 101. $\mbox{arctg}\,\frac{x+1}{2} + c$. 		
 102. $\frac{1}{\sqrt{15}} \mbox{arctg}\,\left( \sqrt{\frac35}x \right) + c$. 


 103. $\frac16 \ln \frac{(x+1)^2}{x^2-x+1} +
\frac{1}{\sqrt{3}} \mbox{arctg}\,\frac{2x-1}{\sqrt{3}} + c$. 


 104. $\frac12 \ln \frac{x^2}{x^2+x+1} -
\frac{1}{\sqrt{3}} \mbox{arctg}\,\frac{2x+1}{\sqrt{3}} + c$. 

 105. $x + 3 \ln \vert x-3\vert -3 \ln \vert x-2\vert + c$. 


 106. $5x + \ln \left\vert
\frac{\sqrt{x}(x-4)^{\frac{161}{6}}}{(x-1)^{\frac73}} \right\vert + c$. 


 107. $x + 3 \ln (x^2-6x+10) + 8\mbox{arctg}\,(x-3) + c$. 


 108. $x + \ln \left\vert \frac{x}{\sqrt{x^2+1}} \right\vert + c$. 


 109. $x - \frac52 \ln(x^2+3x+4) +
\frac{9}{\sqrt{7}}\mbox{arctg}\,\frac{2x+3}{\sqrt{7}} + c$. 


 110. $x + \frac14 \ln \left\vert \frac{x-1}{x+1} \right\vert
-\frac12 \mbox{arctg}\,x + c$. 


 111. $-\frac{1}{2(x^2-3x+2)^2} + c$. 


 112. $x + \ln \frac{\sqrt{x^2+1}}{\vert x\vert} + c$.