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dx/sin^2*5x
Solving integrals/ dx/sin^2*5x

Integral of dx/sin^2*5x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     x      
 |  ------- dx
 |     2      
 |  sin (5)   
 |            
/             
0
$$\int\limits_{0}^{1} \frac{x}{\sin^{2}{\left(5 \right)}}\, dx$$ 
Integral(x/sin(5)^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. The integral of is when :

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                          
 |                       2   
 |    x                 x    
 | ------- dx = C + ---------
 |    2                  2   
 | sin (5)          2*sin (5)
 |                           
/
$$\int \frac{x}{\sin^{2}{\left(5 \right)}}\, dx = C + \frac{x^{2}}{2 \sin^{2}{\left(5 \right)}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
    1    
---------
     2   
2*sin (5)
$$\frac{1}{2 \sin^{2}{\left(5 \right)}}$$ 
=
= 
    1    
---------
     2   
2*sin (5)
$$\frac{1}{2 \sin^{2}{\left(5 \right)}}$$ 
1/(2*sin(5)^2)
Numerical answer [src] 
0.543752640497992
0.543752640497992
The graph
Integral of dx/sin^2*5x dx

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

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