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Integral of d{x}:
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Integral of ×
Integral of (4x)/(1+x^2)
Identical expressions
(two -x^ four)/(one +x^ two)
(2 minus x to the power of 4) divide by (1 plus x squared )
(two minus x to the power of four) divide by (one plus x to the power of two)
(2-x4)/(1+x2)
2-x4/1+x2
(2-x⁴)/(1+x²)
(2-x to the power of 4)/(1+x to the power of 2)
2-x^4/1+x^2
(2-x^4) divide by (1+x^2)
(2-x^4)/(1+x^2)dx
Similar expressions
(2+x^4)/(1+x^2)
(2-x^4)/(1-x^2)

Solving integrals/ (2-x^4)/(1+x^2)

Integral of (2-x^4)/(1+x^2) dx

The solution

You have entered [src]

  1          
  /          
 |           
 |       4   
 |  2 - x    
 |  ------ dx
 |       2   
 |  1 + x    
 |           
/            
0

$$\int\limits_{0}^{1} \frac{2 - x^{4}}{x^{2} + 1}\, dx$$

Integral((2 - x^4)/(1 + x^2), (x, 0, 1))

The answer (Indefinite) [src]

  /                                
 |                                 
 |      4               3          
 | 2 - x               x           
 | ------ dx = C + x - -- + atan(x)
 |      2              3           
 | 1 + x                           
 |                                 
/

$$\int \frac{2 - x^{4}}{x^{2} + 1}\, dx = C - \frac{x^{3}}{3} + x + \operatorname{atan}{\left(x \right)}$$

Simplify

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Plot the graph f(x)

The answer [src]

2   pi
- + --
3   4

$$\frac{2}{3} + \frac{\pi}{4}$$

2   pi
- + --
3   4

$$\frac{2}{3} + \frac{\pi}{4}$$

2/3 + pi/4

Numerical answer [src]

1.45206483006412

1.45206483006412

The graph

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

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Identical expressions

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Integral of (2-x^4)/(1+x^2) dx

Limits of integration:

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Piecewise:

The solution