Cvičenia

Vypočítajte integrály iracionálnych funkcií.

 133. $\int \frac{\sqrt{x}}{1+\sqrt{x}}\,dx$. 		
 134. $\int \frac{dx}{(2-x)\sqrt{1-x}}$. 


 135. $\int \frac{\sqrt{x}}{x+2}\,dx$. 		
 136. $\int \frac{dx}{1+\sqrt[3]{x}}$. 


 137. $\int \frac{\sqrt{x}}{1-\sqrt[3]{x}}\,dx$. 		
 138. $\int \frac{dx}{x\sqrt{x-4}}$. 


 139. $\int \sqrt{\frac{1+x}{1-x}}\,dx$. 		
 140. $\int \sqrt{\frac{1+x}{1-x}}\frac{1}{(1-x)(1+x)^2}\,dx$. 


 141. $\int \frac{dx}{\sqrt{(x-2)^3(x-3)}}$. 		
 142. $\int \frac{dx}{\sqrt{3-2x-5x^2}}$. 


 143. $\int \frac{x-1}{\sqrt{x^2-2x+2}}\,dx$. 		
 144. $\int \frac{dx}{(9+x^2)\sqrt{9+x^2}}$. 


 145. $\int \sqrt{3-2x-x^2}\,dx$. 		
 146. $\int \frac{2x+1}{\sqrt{x^2+x}}\,dx$. 


 147. $\int \frac{\sqrt{x^2+2x}}{x}\,dx$. 		
 148. $\int \frac{dx}{\sqrt{25+9x^2}}$. 


 149. $\int \frac{3dx}{\sqrt{9x^2-1}}$. 		
 150. $\int \frac{dx}{x^2\sqrt{9-x^2}}$.