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Cos2x/(sin^2x*cos^2x)
  • How to use it?

  • Integral of d{x}:
  • Integral of (-1)/x^2 Integral of (-1)/x^2
  • Integral of x⁴ Integral of x⁴
  • Integral of 2e^x Integral of 2e^x
  • Integral of e^(x/y)
  • Identical expressions

  • Cos2x/(sin^2x*cos^2x)
  • Cos2x divide by ( sinus of squared x multiply by co sinus of e of squared x)
  • Cos2x/(sin2x*cos2x)
  • Cos2x/sin2x*cos2x
  • Cos2x/(sin²x*cos²x)
  • Cos2x/(sin to the power of 2x*cos to the power of 2x)
  • Cos2x/(sin^2xcos^2x)
  • Cos2x/(sin2xcos2x)
  • Cos2x/sin2xcos2x
  • Cos2x/sin^2xcos^2x
  • Cos2x divide by (sin^2x*cos^2x)
  • Cos2x/(sin^2x*cos^2x)dx

Integral of Cos2x/(sin^2x*cos^2x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  2. Integrate term-by-term:

    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:

    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:

    The result is:

  3. Now simplify:

  4. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                                              
 |                                               
 |     cos(2*x)             2*cos(x)   2*cos(2*x)
 | --------------- dx = C - -------- + ----------
 |    2       2              sin(x)     sin(2*x) 
 | sin (x)*cos (x)                               
 |                                               
/                                                
$$\int \frac{\cos{\left(2 x \right)}}{\sin^{2}{\left(x \right)} \cos^{2}{\left(x \right)}}\, dx = C + \frac{2 \cos{\left(2 x \right)}}{\sin{\left(2 x \right)}} - \frac{2 \cos{\left(x \right)}}{\sin{\left(x \right)}}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
Numerical answer [src]
1.3793236779486e+19
1.3793236779486e+19
The graph
Integral of Cos2x/(sin^2x*cos^2x) dx

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