Calculus
Integration
∫ xn dx = xn+1  + c
n+1

 

Examples:

 

∫ x3 dx = x4  + c
4

 

∫ x2 dx = x3  + c
3

 

∫ x1 dx = x2  + c
2

 

∫ x dx = x2  + c
2
∫ axn dx = axn+1  + c
n+1

 

Examples:

 

∫ 2x3 dx = 2x4  + c
4

 

∫ 5x2 dx = 5x3  + c
3

 

∫ 8x1 dx = 8x2  + c
2

 

∫ 8x dx = 8x2  + c
2

 

∫ n dx = nx + c

 

Examples:

 

∫ 5 dx = 5x + c

 

∫ 4 dx = 4x + c

 

∫ 3 dx = 3x + c

 
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