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5*x
Solving integrals/ 5*x

Integral of 5*x dx

Limits of integration:

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The solution

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

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

    ∫5x dx=5∫x dx\int 5 x\, dx = 5 \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: 5x22\frac{5 x^{2}}{2}

  2. Add the constant of integration:

    5x22+constant\frac{5 x^{2}}{2}+ \mathrm{constant}

The answer is:

5x22+constant\frac{5 x^{2}}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
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∫5x dx=C+5x22\int 5 x\, dx = C + \frac{5 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] 
5/2
52\frac{5}{2} 
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= 
5/2
52\frac{5}{2} 
5/2
Numerical answer [src] 
2.5
2.5
The graph
Integral of 5*x dx

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

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