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Identical expressions
(tgx^ two)+ one
(tgx squared ) plus 1
(tgx to the power of two) plus one
(tgx2)+1
tgx2+1
(tgx²)+1
(tgx to the power of 2)+1
tgx^2+1
(tgx^2)+1dx
Similar expressions
(tgx^2)-1
2(tgx)^2+1

Solving integrals/ (tgx^2)+1

Integral of (tgx^2)+1 dx

The solution

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  1                 
  /                 
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 |  /   2       \   
 |  \tan (x) + 1/ dx
 |                  
/                   
0

$$\int\limits_{0}^{1} \left(\tan^{2}{\left(x \right)} + 1\right)\, dx$$

Integral(tan(x)^2 + 1, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. Rewrite the integrand:
  
  $\tan^{2}{\left(x \right)} = \sec^{2}{\left(x \right)} - 1$
2. Integrate term-by-term:
  1. $\int \sec^{2}{\left(x \right)}\, dx = \tan{\left(x \right)}$
  1. The integral of a constant is the constant times the variable of integration:
    
    $\int \left(-1\right)\, dx = - x$
  The result is: $- x + \tan{\left(x \right)}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dx = x$
The result is: $\tan{\left(x \right)}$
Add the constant of integration:

$\tan{\left(x \right)}+ \mathrm{constant}$

The answer is:

$\tan{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                             
 |                              
 | /   2       \                
 | \tan (x) + 1/ dx = C + tan(x)
 |                              
/

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

Simplify

The graph

Plot the graph f(x)

The answer [src]

sin(1)
------
cos(1)

$$\frac{\sin{\left(1 \right)}}{\cos{\left(1 \right)}}$$

sin(1)
------
cos(1)

$$\frac{\sin{\left(1 \right)}}{\cos{\left(1 \right)}}$$

sin(1)/cos(1)

Numerical answer [src]

1.5574077246549

1.5574077246549

The graph

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

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Identical expressions

Similar expressions

Integral of (tgx^2)+1 dx

Limits of integration:

The graph:

Piecewise:

The solution