Výsledky

 113. $\frac14 sin^4 x + c$. 		
 114. $-\frac{\cos^6 x}{12} + c$. 


 115. $-\frac14 \ln\vert\cos 4x\vert + c$. 		
 116. $\frac{x}{2} + \frac{\sin 4x}{8} + c$. 


 117. $\sin x - \frac23 \sin^3 x + \frac15 \sin^5 x + c$. 		
 118. $\ln \left\vert \mbox{tg}\,\frac{x}{2} \right\vert + c$. 


 119. $\frac{1}{3 \cos^3 x} - \frac{1}{\cos x} + c$. 		
 120. $\frac{1}{2 \cos^2 x} + \ln \vert\mbox{tg}\,x\vert + c$. 


 121. $-\frac{1}{2 \sin^2 x} - \ln \vert\sin x\vert + c$. 


 122. $-\ln \vert\sin x + \cos x\vert + c$. 


 123. $\frac12 \mbox{arctg}\,\left( 2 \mbox{tg}\,\frac{x}{2} \right) + c$. 


 124. $x - \mbox{tg}\,\frac{x}{2} + c$. 


 125. $-x + \mbox{tg}\,x + \frac{1}{\cos x} + c$. 


 126. $\frac{1}{\sqrt{2}} \ln
\left\vert \mbox{tg}\,\left( \frac{x}{2} + \frac{\pi}{8} \right) \right\vert+ c$. 


 127. $\mbox{arctg}\,\left( 1 + \mbox{tg}\,\frac{x}{2} \right) + c$. 


 128. $-\frac{\sin 8x}{16} + \frac{\sin 2x}{4} + c$. 


 129. $-\frac{\cos x}{2} + \cos \frac{x}{2} + c$. 


 130. $-\frac{\cos 2x}{8} -\frac{\cos 4x}{16} + \frac{\cos 6x}{24} + c$. 


 131. $\frac{\sinh^3 x}{3} + \sinh x + c$. 


 132. $\ln\vert\cosh x\vert + c$.