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Identical expressions
(x^ two +cos(x^ two))/(sqrt(8x-x^ four))
(x squared plus co sinus of e of (x squared )) divide by ( square root of (8x minus x to the power of 4))
(x to the power of two plus co sinus of e of (x to the power of two)) divide by ( square root of (8x minus x to the power of four))
(x^2+cos(x^2))/(√(8x-x^4))
(x2+cos(x2))/(sqrt(8x-x4))
x2+cosx2/sqrt8x-x4
(x²+cos(x²))/(sqrt(8x-x⁴))
(x to the power of 2+cos(x to the power of 2))/(sqrt(8x-x to the power of 4))
x^2+cosx^2/sqrt8x-x^4
(x^2+cos(x^2)) divide by (sqrt(8x-x^4))
(x^2+cos(x^2))/(sqrt(8x-x^4))dx
Similar expressions
(x^2+cos(x^2))/(sqrt(8x+x^4))
(x^2-cos(x^2))/(sqrt(8x-x^4))

Solving integrals/ (x^2+cos(x^2))/(sqrt(8x-x^4))

Integral of (x^2+cos(x^2))/(sqrt(8x-x^4)) dx

The solution

You have entered [src]

  2                 
  /                 
 |                  
 |    2      / 2\   
 |   x  + cos\x /   
 |  ------------- dx
 |     __________   
 |    /        4    
 |  \/  8*x - x     
 |                  
/                   
0

$$\int\limits_{0}^{2} \frac{x^{2} + \cos{\left(x^{2} \right)}}{\sqrt{- x^{4} + 8 x}}\, dx$$

Integral((x^2 + cos(x^2))/sqrt(8*x - x^4), (x, 0, 2))

The answer (Indefinite) [src]

  /                         /                                       /                                  
 |                         |                                       |                                   
 |   2      / 2\           |                 2                     |                / 2\               
 |  x  + cos\x /           |                x                      |             cos\x /               
 | ------------- dx = C +  | ------------------------------- dx +  | ------------------------------- dx
 |    __________           |    ____________________________       |    ____________________________   
 |   /        4            |   /             /     2      \        |   /             /     2      \    
 | \/  8*x - x             | \/  -x*(-2 + x)*\4 + x  + 2*x/        | \/  -x*(-2 + x)*\4 + x  + 2*x/    
 |                         |                                       |                                   
/                         /                                       /

$$\int \frac{x^{2} + \cos{\left(x^{2} \right)}}{\sqrt{- x^{4} + 8 x}}\, dx = C + \int \frac{x^{2}}{\sqrt{- x \left(x - 2\right) \left(x^{2} + 2 x + 4\right)}}\, dx + \int \frac{\cos{\left(x^{2} \right)}}{\sqrt{- x \left(x - 2\right) \left(x^{2} + 2 x + 4\right)}}\, dx$$

Simplify

Numerical answer [src]

1.90086024758134

1.90086024758134

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

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Integral of (x^2+cos(x^2))/(sqrt(8x-x^4)) dx

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Piecewise:

The solution