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y^2+1
Solving integrals/ y^2+1

Integral of y^2+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  / 2    \   
 |  \y  + 1/ dy
 |             
/              
0
$$\int\limits_{0}^{1} \left(y^{2} + 1\right)\, dy$$ 
Integral(y^2 + 1, (y, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of is when :

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

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                        
 |                        3
 | / 2    \              y 
 | \y  + 1/ dy = C + y + --
 |                       3 
/
$$\int \left(y^{2} + 1\right)\, dy = C + \frac{y^{3}}{3} + y$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
4/3
$$\frac{4}{3}$$ 
=
= 
4/3
$$\frac{4}{3}$$ 
4/3
Numerical answer [src] 
1.33333333333333
1.33333333333333
The graph
Integral of y^2+1 dx

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

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