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10x^4
Solving integrals/ 10x^4

Integral of 10x^4 dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
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∫0010x4 dx\int\limits_{0}^{0} 10 x^{4}\, dx 
Integral(10*x^4, (x, 0, 0))
Detail solution

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

    ∫10x4 dx=10∫x4 dx\int 10 x^{4}\, dx = 10 \int x^{4}\, dx

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

      ∫x4 dx=x55\int x^{4}\, dx = \frac{x^{5}}{5}

    So, the result is: 2x52 x^{5}

  2. Add the constant of integration:

    2x5+constant2 x^{5}+ \mathrm{constant}

The answer is:

2x5+constant2 x^{5}+ \mathrm{constant}

The answer (Indefinite) [src] 
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 | 10*x  dx = C + 2*x 
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2 x52\,x^5
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9001
Plot the graph f(x)
The answer [src] 
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Simplify
Numerical answer [src] 
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The graph
Integral of 10x^4 dx

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

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