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(x+4)
Solving integrals/ (x+4)

Integral of (x+4) dx

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The solution

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-4
∫−40(x+4) dx\int\limits_{-4}^{0} \left(x + 4\right)\, dx 
Integral(x + 4, (x, -4, 0))
Detail solution

  1. Integrate term-by-term:

    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}

    1. The integral of a constant is the constant times the variable of integration:

      ∫4 dx=4x\int 4\, dx = 4 x

    The result is: x22+4x\frac{x^{2}}{2} + 4 x

  2. Now simplify:

    x(x+8)2\frac{x \left(x + 8\right)}{2}

  3. Add the constant of integration:

    x(x+8)2+constant\frac{x \left(x + 8\right)}{2}+ \mathrm{constant}

The answer is:

x(x+8)2+constant\frac{x \left(x + 8\right)}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  2      
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 | (x + 4) dx = C + -- + 4*x
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∫(x+4) dx=C+x22+4x\int \left(x + 4\right)\, dx = C + \frac{x^{2}}{2} + 4 x
Simplify
The graph
-4.0-3.5-3.0-2.5-2.0-1.5-1.0-0.50.0-1010
Plot the graph f(x)
The answer [src] 
8
88 
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8
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8
Numerical answer [src] 
8.0
8.0
The graph
Integral of (x+4) dx

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

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