LIST I

LIST II

 A. $\int x^2 e^{x^3} d x$ 

 I. $\frac{1}{2 a} \log \left|\frac{a+x}{a-x}\right|+ C$ + C is an arbitrary constant 

 B. $\int e^x\left(\tan ^{-1} x+\frac{1}{1+x^2}\right) d x$ 

 II. $\frac{1}{a} \tan ^{-1}\left(\frac{x}{a}\right)+ C$ + C is an arbitrary constant 

 C. $\int \frac{d x}{a^2-x^2}$ 

 III. $\frac{1}{3} e^{x^3}+ C$ + C is an arbitrary constant 

 D. $\int \frac{d x}{x^2+a^2}$ 

 IV. $e^x \tan ^{-1} x+ C$ + C is an arbitrary constant