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Solving integrals/ 9*x

Integral of 9*x dx

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The solution

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∫−119x dx\int\limits_{-1}^{1} 9 x\, dx 
Integral(9*x, (x, -1, 1))
Detail solution

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

    ∫9x dx=9∫x dx\int 9 x\, dx = 9 \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: 9x22\frac{9 x^{2}}{2}

  2. Add the constant of integration:

    9x22+constant\frac{9 x^{2}}{2}+ \mathrm{constant}

The answer is:

9x22+constant\frac{9 x^{2}}{2}+ \mathrm{constant}

The answer (Indefinite) [src] 
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∫9x dx=C+9x22\int 9 x\, dx = C + \frac{9 x^{2}}{2}
Simplify
The graph
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    Use the examples entering the upper and lower limits of integration.

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