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Solving integrals/ a/(sin(x)*tan(x))

Integral of a/(sin(x)*tan(x)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |        a         
 |  ------------- dx
 |  sin(x)*tan(x)   
 |                  
/                   
0
$$\int\limits_{0}^{1} \frac{a}{\sin{\left(x \right)} \tan{\left(x \right)}}\, dx$$ 
Integral(a/((sin(x)*tan(x))), (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. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                             
 |                              
 |       a                  a   
 | ------------- dx = C - ------
 | sin(x)*tan(x)          sin(x)
 |                              
/
$$\int \frac{a}{\sin{\left(x \right)} \tan{\left(x \right)}}\, dx = C - \frac{a}{\sin{\left(x \right)}}$$
Simplify
The answer [src] 
               a   
oo*sign(a) - ------
             sin(1)
$$- \frac{a}{\sin{\left(1 \right)}} + \infty \operatorname{sign}{\left(a \right)}$$ 
=
= 
               a   
oo*sign(a) - ------
             sin(1)
$$- \frac{a}{\sin{\left(1 \right)}} + \infty \operatorname{sign}{\left(a \right)}$$ 
oo*sign(a) - a/sin(1)

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

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