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-x/2
Solving integrals/ -x/2

Integral of -x/2 dx

Limits of integration:

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The solution

You have entered [src] 
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∫01(−1)x2 dx\int\limits_{0}^{1} \frac{\left(-1\right) x}{2}\, dx 
Integral((-x)/2, (x, 0, 1))
Detail solution

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

    ∫(−1)x2 dx=∫(−x) dx2\int \frac{\left(-1\right) x}{2}\, dx = \frac{\int \left(- x\right)\, dx}{2}

    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}

    So, the result is: −x24- \frac{x^{2}}{4}

  2. Add the constant of integration:

    −x24+constant- \frac{x^{2}}{4}+ \mathrm{constant}

The answer is:

−x24+constant- \frac{x^{2}}{4}+ \mathrm{constant}

The answer (Indefinite) [src] 
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∫(−1)x2 dx=C−x24\int \frac{\left(-1\right) x}{2}\, dx = C - \frac{x^{2}}{4}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-1.00.5
Plot the graph f(x)
The answer [src] 
-1/4
−14- \frac{1}{4} 
=
= 
-1/4
−14- \frac{1}{4} 
-1/4
Numerical answer [src] 
-0.25
-0.25
The graph
Integral of -x/2 dx

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

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