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Solving integrals/ 7x

Integral of 7x dx

Limits of integration:

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The solution

You have entered [src] 
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∫017x dx\int\limits_{0}^{1} 7 x\, dx 
Integral(7*x, (x, 0, 1))
Detail solution

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

    ∫7x dx=7∫x dx\int 7 x\, dx = 7 \int x\, dx

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

      ∫x dx=x22\int x\, dx = \frac{x^{2}}{2}

    So, the result is: 7x22\frac{7 x^{2}}{2}

  2. Add the constant of integration:

    7x22+constant\frac{7 x^{2}}{2}+ \mathrm{constant}

The answer is:

7x22+constant\frac{7 x^{2}}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                2
 |              7*x 
 | 7*x dx = C + ----
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∫7x dx=C+7x22\int 7 x\, dx = C + \frac{7 x^{2}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
7/2
72\frac{7}{2} 
=
= 
7/2
72\frac{7}{2} 
7/2
Numerical answer [src] 
3.5
3.5
The graph
Integral of 7x dx

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

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