Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of sin²xcos²x
Integral of x*2^(-x)
Integral of x*sin2x
Integral of (1/x^2)dx
Identical expressions
tg^ two *2xdx
tg squared multiply by 2xdx
tg to the power of two multiply by 2xdx
tg2*2xdx
tg²*2xdx
tg to the power of 2*2xdx
tg^22xdx
tg22xdx

Solving integrals/ tg^2*2xdx

Integral of tg^2*2xdx dx

The solution

You have entered [src]

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

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

Simplify

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int \tan^{2}{\left(2 \right)} x 1\, dx = \tan^{2}{\left(2 \right)} \int x\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x\, dx = \frac{x^{2}}{2}$
So, the result is: $\frac{x^{2} \tan^{2}{\left(2 \right)}}{2}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

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

$${{\tan ^22\,x^2}\over{2}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

   2   
tan (2)
-------
   2

$${{\tan ^22}\over{2}}$$

   2   
tan (2)
-------
   2

$$\frac{\tan^{2}{\left(2 \right)}}{2}$$

Simplify

Numerical answer [src]

2.38719960202096

2.38719960202096

The graph

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

Other calculators

How to use it?

Identical expressions

Integral of tg^2*2xdx dx

Limits of integration:

The graph:

Piecewise:

The solution