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Integral of x-x dx

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The solution

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1
∫12(−x+x) dx\int\limits_{1}^{2} \left(- x + x\right)\, dx 
Integral(x - x, (x, 1, 2))
Detail solution

  1. Integrate term-by-term:

    1. The integral of a constant times a function is the constant times the integral of the function:

      ∫(−x) dx=−∫x dx\int \left(- x\right)\, dx = - \int x\, dx

      1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

        ∫x dx=x22\int x\, dx = \frac{x^{2}}{2}

      So, the result is: −x22- \frac{x^{2}}{2}

    1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫x dx=x22\int x\, dx = \frac{x^{2}}{2}

    The result is: 00

The answer is:

0+constant0+ \mathrm{constant}

The answer (Indefinite) [src] 
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∫(−x+x) dx=C\int \left(- x + x\right)\, dx = C
Simplify
The graph
1.002.001.101.201.301.401.501.601.701.801.9001
Plot the graph f(x)
The answer [src] 
0
00 
=
= 
0
00 
0
Numerical answer [src] 
0.0
0.0
The graph
Integral of x-x dx

    Use the examples entering the upper and lower limits of integration.

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