Basic Integration 12th

 $\frac{ax^{n+1}}{n+1}$  

 $\frac{ax^{n-1}}{n-1}+\ c$  

 $\frac{ax^{n+1}}{n}+\ c$  

 $\frac{ax^{n+1}}{n+1}+\ c$  

 $22\left(2x+1\right)^{11}+c$  

 $\frac{1}{22}\left(2x+1\right)^{11}+c$  

 $11\left(2x+1\right)^{10}+c$  

 $\frac{1}{11}\left(2x+1\right)^{10}+c$  

 $\tan\ x\ \ +\ c$  

 $\frac{1}{5}\tan\ x\ \ +\ c$  

 $\frac{1}{5}\tan\ 5x\ \ +\ c$  

 $\frac{1}{5}\tan^2\ 5x\ \ +\ c$  

 $\cos\left(\frac{x}{2}\right)\ +\ c$  

 $-2\cos\left(\frac{x}{2}\right)\ +\ c$  

 $-\cos\left(\frac{x}{2}\right)\ +\ c$  

 $-\frac{1}{2}\cos\left(\frac{x}{2}\right)\ +\ c$  

 $\frac{e^{6x}}{6}\ +\ c$  

 $\frac{e^{9x}}{9}\ +\ c$  

 $6e^{6x}\ +\ c$  

 $\left(e^{3x}\right)^2\ +\ c$  

 $\frac{1}{5}e^{5x}\ +\ c$  

 $-5e^{4x}\ +\ c$  

 $\frac{e^{-5x}}{-5}+\ c$  

 $\frac{e^{-4x}}{-4}+\ c$  

 $\tan x-\sec x+c$  

 $\tan x+\sec x+c$  

 $\cot x-\operatorname{cosec}x+c$  

 $\cot x+\operatorname{cosec}x+c$  

 $2x-\tan x+c_{ }$  

 $2x+\tan x+c$  

 $x-\tan x+c$  

 $x+\tan x+c$  

 $-\cot x-x+c$  

 $\cot x+x+c$  

 $-\cot x+x+c$  

 $\cot x-x+c$  

 $x+\frac{1}{2}\cos2x+c$  

 $x-\frac{1}{2}\cos2x+c$  

 $x+\cos2x+c$  

 $x-\cos2x+c$