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Solving integrals/ t^2+1

Integral of t^2+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  3            
  /            
 |             
 |  / 2    \   
 |  \t  + 1/ dt
 |             
/              
-3
$$\int\limits_{-3}^{3} \left(t^{2} + 1\right)\, dt$$ 
Integral(t^2 + 1, (t, -3, 3))
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    \              t 
 | \t  + 1/ dt = C + t + --
 |                       3 
/
$$\int \left(t^{2} + 1\right)\, dt = C + \frac{t^{3}}{3} + t$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
24
$$24$$ 
=
= 
24
$$24$$ 
24
Numerical answer [src] 
24.0
24.0

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

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