Integral of x+x^2 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:
∫x2dx=3x3
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The integral of xn is n+1xn+1 when n=−1:
∫xdx=2x2
The result is: 3x3+2x2
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Now simplify:
6x2(2x+3)
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Add the constant of integration:
6x2(2x+3)+constant
The answer is:
6x2(2x+3)+constant
The answer (Indefinite)
[src]
/
| 2 3
| / 2\ x x
| \x + x / dx = C + -- + --
| 2 3
/
∫(x2+x)dx=C+3x3+2x2
The graph
Use the examples entering the upper and lower limits of integration.