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5x^6
Solving integrals/ 5x^6

Integral of 5x^6 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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 |         
 |     6   
 |  5*x  dx
 |         
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0
∫015x6 dx\int\limits_{0}^{1} 5 x^{6}\, dx 
Integral(5*x^6, (x, 0, 1))
Detail solution

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

    ∫5x6 dx=5∫x6 dx\int 5 x^{6}\, dx = 5 \int x^{6}\, dx

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

      ∫x6 dx=x77\int x^{6}\, dx = \frac{x^{7}}{7}

    So, the result is: 5x77\frac{5 x^{7}}{7}

  2. Add the constant of integration:

    5x77+constant\frac{5 x^{7}}{7}+ \mathrm{constant}

The answer is:

5x77+constant\frac{5 x^{7}}{7}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
 |                  7
 |    6          5*x 
 | 5*x  dx = C + ----
 |                7  
/
∫5x6 dx=C+5x77\int 5 x^{6}\, dx = C + \frac{5 x^{7}}{7}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
5/7
57\frac{5}{7} 
=
= 
5/7
57\frac{5}{7}
Упростить
Numerical answer [src] 
0.714285714285714
0.714285714285714
The graph
Integral of 5x^6 dx

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

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