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