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2x⁴dx
Solving integrals/ 2x⁴dx

Integral of 2x⁴dx dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  2        
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 |  2*x  dx
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1
∫122x4 dx\int\limits_{1}^{2} 2 x^{4}\, dx 
Integral(2*x^4, (x, 1, 2))
Detail solution

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

    ∫2x4 dx=2∫x4 dx\int 2 x^{4}\, dx = 2 \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: 2x55\frac{2 x^{5}}{5}

  2. Add the constant of integration:

    2x55+constant\frac{2 x^{5}}{5}+ \mathrm{constant}

The answer is:

2x55+constant\frac{2 x^{5}}{5}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
 |                  5
 |    4          2*x 
 | 2*x  dx = C + ----
 |                5  
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∫2x4 dx=C+2x55\int 2 x^{4}\, dx = C + \frac{2 x^{5}}{5}
Simplify
The graph
1.002.001.101.201.301.401.501.601.701.801.90050
Plot the graph f(x)
The answer [src] 
62/5
625\frac{62}{5} 
=
= 
62/5
625\frac{62}{5} 
62/5
Numerical answer [src] 
12.4
12.4
The graph
Integral of 2x⁴dx dx

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

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