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6x^2
Solving integrals/ 6x^2

Integral of 6x^2 dx

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The solution

You have entered [src] 
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∫016x2 dx\int\limits_{0}^{1} 6 x^{2}\, dx 
Integral(6*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:

    ∫6x2 dx=6∫x2 dx\int 6 x^{2}\, dx = 6 \int x^{2}\, dx

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

      ∫x2 dx=x33\int x^{2}\, dx = \frac{x^{3}}{3}

    So, the result is: 2x32 x^{3}

  2. Add the constant of integration:

    2x3+constant2 x^{3}+ \mathrm{constant}

The answer is:

2x3+constant2 x^{3}+ \mathrm{constant}

The answer (Indefinite) [src] 
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∫6x2 dx=C+2x3\int 6 x^{2}\, dx = C + 2 x^{3}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
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22 
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Numerical answer [src] 
2.0
2.0
The graph
Integral of 6x^2 dx

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

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