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7x^6
Solving integrals/ 7x^6

Integral of 7x^6 dx

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The solution

You have entered [src] 
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 |     6   
 |  7*x  dx
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∫017x6 dx\int\limits_{0}^{1} 7 x^{6}\, dx 
Integral(7*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:

    ∫7x6 dx=7∫x6 dx\int 7 x^{6}\, dx = 7 \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: x7x^{7}

  2. Add the constant of integration:

    x7+constantx^{7}+ \mathrm{constant}

The answer is:

x7+constantx^{7}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
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 |    6           7
 | 7*x  dx = C + x 
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∫7x6 dx=C+x7\int 7 x^{6}\, dx = C + x^{7}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
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The answer [src] 
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11
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Numerical answer [src] 
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The graph
Integral of 7x^6 dx

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

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