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2*x
Solving integrals/ 2*x

Integral of 2*x dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
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∫012x dx\int\limits_{0}^{1} 2 x\, dx 
Integral(2*x, (x, 0, 1))
Detail solution

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

    ∫2x dx=2∫x dx\int 2 x\, dx = 2 \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: x2x^{2}

  2. Add the constant of integration:

    x2+constantx^{2}+ \mathrm{constant}

The answer is:

x2+constantx^{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
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∫2x dx=C+x2\int 2 x\, dx = C + x^{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
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Numerical answer [src] 
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The graph
Integral of 2*x dx

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

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