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3y^2
Solving integrals/ 3y^2

Integral of 3y^2 dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
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0
∫013y2 dy\int\limits_{0}^{1} 3 y^{2}\, dy 
Integral(3*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:

    ∫3y2 dy=3∫y2 dy\int 3 y^{2}\, dy = 3 \int y^{2}\, dy

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

      ∫y2 dy=y33\int y^{2}\, dy = \frac{y^{3}}{3}

    So, the result is: y3y^{3}

  2. Add the constant of integration:

    y3+constanty^{3}+ \mathrm{constant}

The answer is:

y3+constanty^{3}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                
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 | 3*y  dy = C + y 
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y3y^3
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Plot the graph f(x)
The answer [src] 
1
11 
=
= 
1
11
Simplify
Numerical answer [src] 
1.0
1.0
The graph
Integral of 3y^2 dx

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

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