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Integral of d{x}:
Integral of sin^2(x)*cos(x)
Integral of (2x-3)^4
Integral of (3-x^2)^3
Integral of xsin(x)cos(x)
Graphing y =:
1-x^2
Derivative of:
1-x^2
Limit of the function:
1-x^2
Identical expressions
one -x^ two
1 minus x squared
one minus x to the power of two
1-x2
1-x²
1-x to the power of 2
1-x^2dx
Similar expressions
x^9*sqrt(1-x^2)
dx/root(1-x^2)
1+x^2
1/(√25+arcsin^2x)*1/(√1-x^2)

Solving integrals/ 1-x^2

Integral of 1-x^2 dx

The solution

You have entered [src]

  1            
  /            
 |             
 |  /     2\   
 |  \1 - x / dx
 |             
/              
0

$$\int\limits_{0}^{1} \left(1 - x^{2}\right)\, dx$$

Integral(1 - x^2, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dx = x$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- x^{2}\right)\, dx = - \int x^{2}\, dx$
  1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
    
    $\int x^{2}\, dx = \frac{x^{3}}{3}$
  So, the result is: $- \frac{x^{3}}{3}$
The result is: $- \frac{x^{3}}{3} + x$
Add the constant of integration:

$- \frac{x^{3}}{3} + x+ \mathrm{constant}$

The answer is:

$- \frac{x^{3}}{3} + x+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                        
 |                        3
 | /     2\              x 
 | \1 - x / 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 1-x^2 dx

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