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sqrt(5-x^2)
Solving integrals/ sqrt(5-x^2)

Integral of sqrt(5-x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |     ________   
 |    /      2    
 |  \/  5 - x   dx
 |                
/                 
0
$$\int\limits_{0}^{1} \sqrt{- x^{2} + 5}\, dx$$ 
Integral(sqrt(5 - x^2), (x, 0, 1))
Detail solution

    SqrtQuadraticRule(a=5, b=0, c=-1, context=sqrt(5 - x**2), symbol=x)

  1. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                           /    ___\                
 |                            |x*\/ 5 |        ________
 |    ________          5*asin|-------|       /      2 
 |   /      2                 \   5   /   x*\/  5 - x  
 | \/  5 - x   dx = C + --------------- + -------------
 |                             2                2      
/
$${{5\,\arcsin \left({{x}\over{\sqrt{5}}}\right)}\over{2}}+{{x\, \sqrt{5-x^2}}\over{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
          /  ___\
          |\/ 5 |
    5*asin|-----|
          \  5  /
1 + -------------
          2
$${{5\,\arcsin \left({{1}\over{\sqrt{5}}}\right)+2}\over{2}}$$ 
=
= 
          /  ___\
          |\/ 5 |
    5*asin|-----|
          \  5  /
1 + -------------
          2
$$1 + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{5}}{5} \right)}}{2}$$
Simplify
Numerical answer [src] 
2.15911902250202
2.15911902250202
The graph
Integral of sqrt(5-x^2) dx

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

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