Mister Exam

Other calculators

Solving integrals/ 6*dx/cos^2(2x)

Integral of 6*dx/cos^2(2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |      6       
 |  --------- dx
 |     2        
 |  cos (2*x)   
 |              
/               
0
$$\int\limits_{0}^{1} \frac{6}{\cos^{2}{\left(2 x \right)}}\, dx$$ 
Integral(6/cos(2*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] 
  /                             
 |                              
 |     6              3*sin(2*x)
 | --------- dx = C + ----------
 |    2                cos(2*x) 
 | cos (2*x)                    
 |                              
/
$$\int \frac{6}{\cos^{2}{\left(2 x \right)}}\, dx = C + \frac{3 \sin{\left(2 x \right)}}{\cos{\left(2 x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo
Numerical answer [src] 
2960.21497302129
2960.21497302129

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

    © Mister Exam – Calculator