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Solving integrals/ 12x

Integral of 12x 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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∫0112x dx\int\limits_{0}^{1} 12 x\, dx 
Integral(12*x, (x, 0, 1))
Detail solution

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

    ∫12x dx=12∫x dx\int 12 x\, dx = 12 \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: 6x26 x^{2}

  2. Add the constant of integration:

    6x2+constant6 x^{2}+ \mathrm{constant}

The answer is:

6x2+constant6 x^{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
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 | 12*x dx = C + 6*x 
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∫12x dx=C+6x2\int 12 x\, dx = C + 6 x^{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90020
Plot the graph f(x)
The answer [src] 
6
66 
=
= 
6
66 
6
Numerical answer [src] 
6.0
6.0
The graph
Integral of 12x dx

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

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