Integral of x^3/3 dx
The solution
Detail solution
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The integral of a constant times a function is the constant times the integral of the function:
∫3x3dx=3∫x3dx
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The integral of xn is n+1xn+1 when n=−1:
∫x3dx=4x4
So, the result is: 12x4
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Add the constant of integration:
12x4+constant
The answer is:
12x4+constant
The answer (Indefinite)
[src]
/
|
| 3 4
| x x
| -- dx = C + --
| 3 12
|
/
∫3x3dx=C+12x4
The graph
Use the examples entering the upper and lower limits of integration.