Cvičenia

Vypočítajte integrály trigonometrických funkcií.

 113. $\int \sin^3 x \cos x\,dx$. 		
 114. $\int \cos^5 2x \sin 2x\,dx$. 


 115. $\int \mbox{tg}\,4x\,dx$. 		
 116. $\int \cos^2 2x\,dx$. 


 117. $\int \cos^5 x\,dx$. 		
 118. $\int \frac{dx}{\sin x}$. 


 119. $\int \frac{\sin^3 x}{\cos^4 x}\,dx$. 		
 120. $\int \frac{dx}{\sin x \cos^3 x}$. 


 121. $\int \mbox{cotg}\,^3 x\,dx$. 		
 122. $\int \frac{\sin x - \cos x}{\sin x + \cos x}\,dx$. 


 123. $\int \frac{dx}{5 - 3 \cos x}$. 		
 124. $\int \frac{\cos x}{1 + \cos x}\,dx$. 


 125. $\int \frac{\sin x}{1 - \sin x}\,dx$. 		
 126. $\int \frac{dx}{\sin x + \cos x}$. 


 127. $\int \frac{dx}{\cos x + 2 \sin x + 3}$. 		
 128. $\int \sin 3x \sin 5x\,dx$. 


 129. $\int \sin \frac{x}{4} \cos \frac{3x}{4}\,dx$. 		
 130. $\int \sin x \sin 2x \sin 3x\,dx$. 


 131. $\int \cosh^3 x\,dx$. 		
 132. $\int \mbox{tgh}\,x\,dx$.