Integral of (x-3)/2 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:
∫2x−3dx=2∫(x−3)dx
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Integrate term-by-term:
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The integral of xn is n+1xn+1 when n=−1:
∫xdx=2x2
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The integral of a constant is the constant times the variable of integration:
∫(−3)dx=−3x
The result is: 2x2−3x
So, the result is: 4x2−23x
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Now simplify:
4x(x−6)
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Add the constant of integration:
4x(x−6)+constant
The answer is:
4x(x−6)+constant
The answer (Indefinite)
[src]
/
| 2
| x - 3 3*x x
| ----- dx = C - --- + --
| 2 2 4
|
/
∫2x−3dx=C+4x2−23x
The graph
Use the examples entering the upper and lower limits of integration.