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3*x^2
Solving integrals/ 3*x^2

Integral of 3*x^2 dx

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The solution

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∫013x2 dx\int\limits_{0}^{1} 3 x^{2}\, dx 
Integral(3*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:

    ∫3x2 dx=3∫x2 dx\int 3 x^{2}\, dx = 3 \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: x3x^{3}

  2. Add the constant of integration:

    x3+constantx^{3}+ \mathrm{constant}

The answer is:

x3+constantx^{3}+ \mathrm{constant}

The answer (Indefinite) [src] 
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∫3x2 dx=C+x3\int 3 x^{2}\, dx = C + x^{3}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Plot the graph f(x)
The answer [src] 
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Numerical answer [src] 
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The graph
Integral of 3*x^2 dx

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

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