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Solving integrals/ -(9)/(cos²x)dx

Integral of -(9)/(cos²x)dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |    -9      
 |  ------- dx
 |     2      
 |  cos (x)   
 |            
/             
0
$$\int\limits_{0}^{1} \left(- \frac{9}{\cos^{2}{\left(x \right)}}\right)\, dx$$ 
Integral(-9/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] 
  /                         
 |                          
 |   -9             9*sin(x)
 | ------- dx = C - --------
 |    2              cos(x) 
 | cos (x)                  
 |                          
/
$$\int \left(- \frac{9}{\cos^{2}{\left(x \right)}}\right)\, dx = C - \frac{9 \sin{\left(x \right)}}{\cos{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-9*sin(1)
---------
  cos(1)
$$- \frac{9 \sin{\left(1 \right)}}{\cos{\left(1 \right)}}$$ 
=
= 
-9*sin(1)
---------
  cos(1)
$$- \frac{9 \sin{\left(1 \right)}}{\cos{\left(1 \right)}}$$ 
-9*sin(1)/cos(1)
Numerical answer [src] 
-14.0166695218941
-14.0166695218941

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

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