Mister Exam

Integral of y dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1     
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 |  y dy
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0       
01ydy\int\limits_{0}^{1} y\, dy
Integral(y, (y, 0, 1))
Detail solution
  1. The integral of yny^{n} is yn+1n+1\frac{y^{n + 1}}{n + 1} when n1n \neq -1:

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

  2. Add the constant of integration:

    y22+constant\frac{y^{2}}{2}+ \mathrm{constant}


The answer is:

y22+constant\frac{y^{2}}{2}+ \mathrm{constant}

The answer (Indefinite) [src]
  /            2
 |            y 
 | y dy = C + --
 |            2 
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y22{{y^2}\over{2}}
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
The answer [src]
1/2
12{{1}\over{2}}
=
=
1/2
12\frac{1}{2}
Numerical answer [src]
0.5
0.5
The graph
Integral of y dy

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