Cvičenia

Kombináciou rôznych metód vypočítajte integrály.

 151. $\int \frac{dx}{\sqrt[3]{(4-3x)^2}}$. 		
 152. $\int e^{-x} \sin^2 x\,dx$. 


 153. $\int e^{ax} \cos bx\,dx$. 		
 154. $\int (3x^2+2x+1) \sin\frac{x}{3}\,dx$. 


 155. $\int \sin x \sqrt{(3+2\cos x)^5}\,dx$. 		
 156. $\int (3x^2+1)\ln(x-4)\,dx$. 


 157. $\int \left( \frac{\ln x}{x} \right)^2\,dx$. 		
 158. $\int x^2 \mbox{arctg}\,3x\,dx$. 


 159. $\int \arcsin^2 x\,dx$. 		
 160. $\int \sin x \sinh x\,dx$. 


 161. $\int (4x^3+2x) \mbox{arctg}\,x\,dx$. 		
 162. $\int \frac{dx}{(2x^2+2)\sqrt{\mbox{arccotg}\,^3 x}}$. 


 163. $\int (2x-1)\arccos x\,dx$. 		
 164. $\int (x^2-3x+1)\cosh 2x\,dx$.