Mister Exam

Other calculators

sqrt(4-x^2)
Solving integrals/ sqrt(4-x^2)

Integral of sqrt(4-x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2               
  /               
 |                
 |     ________   
 |    /      2    
 |  \/  4 - x   dx
 |                
/                 
0
∫024−x2 dx\int\limits_{0}^{2} \sqrt{4 - x^{2}}\, dx 
Integral(sqrt(4 - x^2), (x, 0, 2))
Detail solution

    SqrtQuadraticRule(a=4, b=0, c=-1, context=sqrt(4 - x**2), symbol=x)

  1. Add the constant of integration:

    x4−x22+2asin⁡(x2)+constant\frac{x \sqrt{4 - x^{2}}}{2} + 2 \operatorname{asin}{\left(\frac{x}{2} \right)}+ \mathrm{constant}

The answer is:

x4−x22+2asin⁡(x2)+constant\frac{x \sqrt{4 - x^{2}}}{2} + 2 \operatorname{asin}{\left(\frac{x}{2} \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                                              
 |                                       ________
 |    ________                          /      2 
 |   /      2                 /x\   x*\/  4 - x  
 | \/  4 - x   dx = C + 2*asin|-| + -------------
 |                            \2/         2      
/
∫4−x2 dx=C+x4−x22+2asin⁡(x2)\int \sqrt{4 - x^{2}}\, dx = C + \frac{x \sqrt{4 - x^{2}}}{2} + 2 \operatorname{asin}{\left(\frac{x}{2} \right)}
Simplify
The graph
0.02.00.20.40.60.81.01.21.41.61.805
Plot the graph f(x)
The answer [src] 
pi
π\pi 
=
= 
pi
π\pi
Упростить
Numerical answer [src] 
3.14159265358979
3.14159265358979
The graph
Integral of sqrt(4-x^2) dx

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

    © Mister Exam – Calculator