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

Integral of dx/sqrt(4-2x-x^2) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                       
  /                       
 |                        
 |            1           
 |  1*----------------- dx
 |       ______________   
 |      /            2    
 |    \/  4 - 2*x - x     
 |                        
/                         
0
∫011⋅1−x2−2x+4 dx\int\limits_{0}^{1} 1 \cdot \frac{1}{\sqrt{- x^{2} - 2 x + 4}}\, dx
Simplify
The answer (Indefinite) [src]
−arcsin⁡(−2 x−22 5)-\arcsin \left({{-2\,x-2}\over{2\,\sqrt{5}}}\right)
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.01.5
Plot the graph f(x)
The answer [src] 
      /  ___\       /    ___\
      |\/ 5 |       |2*\/ 5 |
- asin|-----| + asin|-------|
      \  5  /       \   5   /
arcsin⁡(25)−arcsin⁡(15)\arcsin \left({{2}\over{\sqrt{5}}}\right)-\arcsin \left({{1}\over{ \sqrt{5}}}\right) 
=
= 
      /  ___\       /    ___\
      |\/ 5 |       |2*\/ 5 |
- asin|-----| + asin|-------|
      \  5  /       \   5   /
−asin⁡(55)+asin⁡(255)- \operatorname{asin}{\left(\frac{\sqrt{5}}{5} \right)} + \operatorname{asin}{\left(\frac{2 \sqrt{5}}{5} \right)}
Simplify
Numerical answer [src] 
0.643501108793284
0.643501108793284
The graph
Integral of dx/sqrt(4-2x-x^2) dx

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

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