Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of x^2/(√(1-x^2))
Integral of 2+x^2
Integral of 4*x/(1+x^2)
Integral of (x^2)
Identical expressions
(one /(cos(x/ two))^(two))
(1 divide by ( co sinus of e of (x divide by 2)) to the power of (2))
(one divide by ( co sinus of e of (x divide by two)) to the power of (two))
(1/(cos(x/2))(2))
1/cosx/22
1/cosx/2^2
(1 divide by (cos(x divide by 2))^(2))
(1/(cos(x/2))^(2))dx

Solving integrals/ (1/(cos(x/2))^(2))

Integral of (1/(cos(x/2))^(2)) dx

The solution

You have entered [src]

 pi             
 --             
 2              
  /             
 |              
 |       1      
 |  1*------- dx
 |       2/x\   
 |    cos |-|   
 |        \2/   
 |              
/               
pi              
--              
3

\int\limits_{\frac{\pi}{3}}^{\frac{\pi}{2}} 1 \cdot \frac{1}{\cos^{2}{\left(\frac{x}{2} \right)}}\, dx

Integral(1/cos(x/2)^2, (x, pi/3, pi/2))

The answer (Indefinite) [src]

  /                        /x\
 |                    2*sin|-|
 |      1                  \2/
 | 1*------- dx = C + --------
 |      2/x\              /x\ 
 |   cos |-|           cos|-| 
 |       \2/              \2/ 
 |                            
/

\int 1 \cdot \frac{1}{\cos^{2}{\left(\frac{x}{2} \right)}}\, dx = C + \frac{2 \sin{\left(\frac{x}{2} \right)}}{\cos{\left(\frac{x}{2} \right)}}

Simplify

The graph

Plot the graph f(x)

The answer [src]

        ___
    2*\/ 3 
2 - -------
       3

2 - \frac{2 \sqrt{3}}{3}

        ___
    2*\/ 3 
2 - -------
       3

2 - \frac{2 \sqrt{3}}{3}

Упростить

Numerical answer [src]

0.845299461620748

0.845299461620748

The graph

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

Other calculators

How to use it?

Identical expressions

Integral of (1/(cos(x/2))^(2)) dx

Limits of integration:

The graph:

Piecewise:

The solution