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y/2
Solving integrals/ y/2

Integral of y/2 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1     
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0
∫01y2 dy\int\limits_{0}^{1} \frac{y}{2}\, dy 
Integral(y/2, (y, 0, 1))
Detail solution

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

    ∫y2 dy=∫y dy2\int \frac{y}{2}\, dy = \frac{\int y\, dy}{2}

    1. The integral of yny^{n} is yn+1n+1\frac{y^{n + 1}}{n + 1} when n≠−1n \neq -1:

      ∫y dy=y22\int y\, dy = \frac{y^{2}}{2}

    So, the result is: y24\frac{y^{2}}{4}

  2. Add the constant of integration:

    y24+constant\frac{y^{2}}{4}+ \mathrm{constant}

The answer is:

y24+constant\frac{y^{2}}{4}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /             
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 | - dy = C + --
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∫y2 dy=C+y24\int \frac{y}{2}\, dy = C + \frac{y^{2}}{4}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.01.0
Plot the graph f(x)
The answer [src] 
1/4
14\frac{1}{4} 
=
= 
1/4
14\frac{1}{4} 
1/4
Numerical answer [src] 
0.25
0.25
The graph
Integral of y/2 dx

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

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