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Integral of 3/cos^2x dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  0           
  /           
 |            
 |     3      
 |  ------- dx
 |     2      
 |  cos (x)   
 |            
/             
pi            
$$\int\limits_{\pi}^{0} \frac{3}{\cos^{2}{\left(x \right)}}\, dx$$
Integral(3/cos(x)^2, (x, pi, 0))
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]
  /                         
 |                          
 |    3             3*sin(x)
 | ------- dx = C + --------
 |    2              cos(x) 
 | cos (x)                  
 |                          
/                           
$$\int \frac{3}{\cos^{2}{\left(x \right)}}\, dx = C + \frac{3 \sin{\left(x \right)}}{\cos{\left(x \right)}}$$
The graph
The answer [src]
-oo
$$-\infty$$
=
=
-oo
$$-\infty$$
-oo
Numerical answer [src]
-3.08474538155669e+31
-3.08474538155669e+31

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