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-x^2+1
Solving integrals/ -x^2+1

Integral of -x^2+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Integrate term-by-term:

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

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

      1. The integral of is when :

      So, the result is:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                          
 |                          3
 | /   2    \              x 
 | \- x  + 1/ dx = C + x - --
 |                         3 
/
$$\int \left(1 - x^{2}\right)\, dx = C - \frac{x^{3}}{3} + x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2/3
$$\frac{2}{3}$$ 
=
= 
2/3
$$\frac{2}{3}$$ 
2/3
Numerical answer [src] 
0.666666666666667
0.666666666666667
The graph
Integral of -x^2+1 dx

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

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