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Solving integrals/ cosx/sin^2x-4

Integral of cosx/sin^2x-4 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |  / cos(x)    \   
 |  |------- - 4| dx
 |  |   2       |   
 |  \sin (x)    /   
 |                  
/                   
0
$$\int\limits_{0}^{1} \left(-4 + \frac{\cos{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right)\, dx$$ 
Integral(cos(x)/sin(x)^2 - 4, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of a constant is the constant times the variable of integration:

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

      But the integral is

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                   
 |                                    
 | / cos(x)    \            1         
 | |------- - 4| dx = C - ------ - 4*x
 | |   2       |          sin(x)      
 | \sin (x)    /                      
 |                                    
/
$$\int \left(-4 + \frac{\cos{\left(x \right)}}{\sin^{2}{\left(x \right)}}\right)\, dx = C - 4 x - \frac{1}{\sin{\left(x \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
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Numerical answer [src] 
1.3793236779486e+19
1.3793236779486e+19

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

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