Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of xe
Integral of 3x²
Integral of e^-t
Integral of e^(x*y)
Identical expressions
tan^ two *x
tangent of squared multiply by x
tangent of to the power of two multiply by x
tan2*x
tan²*x
tan to the power of 2*x
tan^2x
tan2x
tan^2*xdx
Similar expressions
xtan^2x
(x^1/2)tan^2(x)
tan^2(x)sec^4(x)
sin^2xtan^2x
tan^2(x/2)

Solving integrals/ tan^2*x

Integral of tan^2*x dx

The solution

You have entered [src]

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

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

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

Detail solution

Rewrite the integrand:

$\tan^{2}{\left(x \right)} = \sec^{2}{\left(x \right)} - 1$
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: $- x + \tan{\left(x \right)}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                           
 |                            
 |    2                       
 | tan (x) dx = C - x + tan(x)
 |                            
/

$$\tan x-x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

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

$$\tan 1-1$$

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

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

Simplify

Numerical answer [src]

0.557407724654902

0.557407724654902

The graph

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

Other calculators

How to use it?

Identical expressions

Similar expressions

Integral of tan^2*x dx

Limits of integration:

The graph:

Piecewise:

The solution