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3*dx/cos(x)^(2)
Solving integrals/ 3*dx/cos(x)^(2)

Integral of 3*dx/cos(x)^(2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |         1      
 |  3*1*------- dx
 |         2      
 |      cos (x)   
 |                
/                 
0
$$\int\limits_{0}^{1} 3 \cdot 1 \cdot \frac{1}{\cos^{2}{\left(x \right)}}\, dx$$ 
Integral(3*1/cos(x)^2, (x, 0, 1))
Detail solution

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

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                             
 |                              
 |        1             3*sin(x)
 | 3*1*------- dx = C + --------
 |        2              cos(x) 
 |     cos (x)                  
 |                              
/
$$3\,\tan x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
3*sin(1)
--------
 cos(1)
$$3\,\tan 1$$ 
=
= 
3*sin(1)
--------
 cos(1)
$$\frac{3 \sin{\left(1 \right)}}{\cos{\left(1 \right)}}$$
Упростить
Numerical answer [src] 
4.67222317396471
4.67222317396471
The graph
Integral of 3*dx/cos(x)^(2) dx

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

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