LIST I

LIST II

 A. $\int\sin ^2(2 x+1) d x$ 

 I. $\frac{x}{2}+\frac{\sin (2 x+1) \cos (2 x+1)}{4} + C$ : C is a constant 

 B. $\int\cos ^2(2 x+1) d x$ 

 II. $\frac{\cos 3(2 x+1)}{24}-\frac{3 \cos (2 x+1)}{8}+C$ : C is a constant 

 C. $\int\sin ^3(2 x+1) d x$ 

 III. $\frac{x}{2}-\frac{\sin (2 x+1) \cos (2 x+1)}{4}+C$ : C is a constant 

 D. $\int\cos ^3(2 x+1) d x$ 

 IV. $\frac{\sin 3(2 x+1)}{24}+\frac{3 \sin (2 x+1)}{8}+C$ : C is a constant