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4xdx
Solving integrals/ 4xdx

Integral of 4xdx dx

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The solution

You have entered [src] 
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 |  4*x*1 dx
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0
∫014x1 dx\int\limits_{0}^{1} 4 x 1\, dx 
Integral(4*x*1, (x, 0, 1))
Detail solution

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

    ∫4x1 dx=4∫x dx\int 4 x 1\, dx = 4 \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: 2x22 x^{2}

  2. Add the constant of integration:

    2x2+constant2 x^{2}+ \mathrm{constant}

The answer is:

2x2+constant2 x^{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                   
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 | 4*x*1 dx = C + 2*x 
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∫4x1 dx=C+2x2\int 4 x 1\, dx = C + 2 x^{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Plot the graph f(x)
The answer [src] 
2
22 
=
= 
2
22
Упростить
Numerical answer [src] 
2.0
2.0
The graph
Integral of 4xdx dx

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

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