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3x^4
Solving integrals/ 3x^4

Integral of 3x^4 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1        
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 |     4   
 |  3*x  dx
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0
∫013x4 dx\int\limits_{0}^{1} 3 x^{4}\, dx 
Integral(3*x^4, (x, 0, 1))
Detail solution

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

    ∫3x4 dx=3∫x4 dx\int 3 x^{4}\, dx = 3 \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: 3x55\frac{3 x^{5}}{5}

  2. Add the constant of integration:

    3x55+constant\frac{3 x^{5}}{5}+ \mathrm{constant}

The answer is:

3x55+constant\frac{3 x^{5}}{5}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
 |                  5
 |    4          3*x 
 | 3*x  dx = C + ----
 |                5  
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3 x55{{3\,x^5}\over{5}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Plot the graph f(x)
The answer [src] 
3/5
35{{3}\over{5}} 
=
= 
3/5
35\frac{3}{5}
Simplify
Numerical answer [src] 
0.6
0.6
The graph
Integral of 3x^4 dx

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

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