Integral of x^3-27 dx
The solution
Detail solution
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Integrate term-by-term:
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The integral of xn is n+1xn+1 when n=−1:
∫x3dx=4x4
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The integral of a constant is the constant times the variable of integration:
∫(−27)dx=−27x
The result is: 4x4−27x
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Now simplify:
4x(x3−108)
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Add the constant of integration:
4x(x3−108)+constant
The answer is:
4x(x3−108)+constant
The answer (Indefinite)
[src]
/
| 4
| / 3 \ x
| \x - 27/ dx = C - 27*x + --
| 4
/
∫(x3−27)dx=C+4x4−27x
The graph
−4243
=
−4243
Use the examples entering the upper and lower limits of integration.