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Identical expressions
tan(x^ two)/x^ two + one
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tanx^2/x^2+1
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tan(x^2)/x^2+1dx
Similar expressions
tan(x^2)/x^2-1
What you mean?
tan(x^2)/(x^2 + 1)
tan(x^2)/(x^2) + 1
tan(x^2)*2/x + 1
tan(x^2)/(x^2) + 1
tan(x^2)/(x^2 + 1)
tan(x^2)/(x^2) + 1
tan(x^2)/(x^2) + 1

You entered:

tan(x^2)/x^2+1

What you mean?

tan(x^2)/(x^2 + 1)

tan(x^2)/(x^2) + 1

tan(x^2)*2/x + 1

tan(x^2)/(x^2) + 1

tan(x^2)/(x^2 + 1)

tan(x^2)/(x^2) + 1

tan(x^2)/(x^2) + 1

Integral of tan(x^2)/x^2+1 dx

The solution

You have entered [src]

  1                 
  /                 
 |                  
 |  /   / 2\    \   
 |  |tan\x /    |   
 |  |------- + 1| dx
 |  |    2      |   
 |  \   x       /   
 |                  
/                   
1/5

$$\int\limits_{\frac{1}{5}}^{1} \left(1 + \frac{\tan{\left(x^{2} \right)}}{x^{2}}\right)\, dx$$

Integral(tan(x^2)/(x^2) + 1, (x, 1/5, 1))

Detail solution

Integrate term-by-term:
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dx = x$
1. Don't know the steps in finding this integral.
  
  But the integral is
  
  $\int \frac{\tan{\left(x^{2} \right)}}{x^{2}}\, dx$
The result is: $x + \int \frac{\tan{\left(x^{2} \right)}}{x^{2}}\, dx$
Add the constant of integration:

$x + \int \frac{\tan{\left(x^{2} \right)}}{x^{2}}\, dx+ \mathrm{constant}$

The answer is:

$x + \int \frac{\tan{\left(x^{2} \right)}}{x^{2}}\, dx+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                             /          
 |                             |           
 | /   / 2\    \               |    / 2\   
 | |tan\x /    |               | tan\x /   
 | |------- + 1| dx = C + x +  | ------- dx
 | |    2      |               |     2     
 | \   x       /               |    x      
 |                             |           
/                             /

$$\int \left(1 + \frac{\tan{\left(x^{2} \right)}}{x^{2}}\right)\, dx = C + x + \int \frac{\tan{\left(x^{2} \right)}}{x^{2}}\, dx$$

Simplify

The answer [src]

  1                
  /                
 |                 
 |   2      / 2\   
 |  x  + tan\x /   
 |  ------------ dx
 |        2        
 |       x         
 |                 
/                  
1/5

$$\int\limits_{\frac{1}{5}}^{1} \frac{x^{2} + \tan{\left(x^{2} \right)}}{x^{2}}\, dx$$

  1                
  /                
 |                 
 |   2      / 2\   
 |  x  + tan\x /   
 |  ------------ dx
 |        2        
 |       x         
 |                 
/                  
1/5

$$\int\limits_{\frac{1}{5}}^{1} \frac{x^{2} + \tan{\left(x^{2} \right)}}{x^{2}}\, dx$$

Упростить

Numerical answer [src]

1.68754203011749

1.68754203011749

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

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Identical expressions

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What you mean?

Integral of tan(x^2)/x^2+1 dx

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The solution