Mister Exam

Other calculators

1/(1+sin(x))
Solving integrals/ 1/(1+sin(x))

Integral of 1/(1+sin(x)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1              
  /              
 |               
 |      1        
 |  ---------- dx
 |  1 + sin(x)   
 |               
/                
0
$$\int\limits_{0}^{1} \frac{1}{\sin{\left(x \right)} + 1}\, dx$$ 
Integral(1/(1 + sin(x)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                              
 |                               
 |     1                   2     
 | ---------- dx = C - ----------
 | 1 + sin(x)                 /x\
 |                     1 + tan|-|
/                             \2/
$$\int \frac{1}{\sin{\left(x \right)} + 1}\, dx = C - \frac{2}{\tan{\left(\frac{x}{2} \right)} + 1}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
         2      
2 - ------------
    1 + tan(1/2)
$$2 - \frac{2}{\tan{\left(\frac{1}{2} \right)} + 1}$$ 
=
= 
         2      
2 - ------------
    1 + tan(1/2)
$$2 - \frac{2}{\tan{\left(\frac{1}{2} \right)} + 1}$$ 
2 - 2/(1 + tan(1/2))
Numerical answer [src] 
0.706592006973977
0.706592006973977
The graph
Integral of 1/(1+sin(x)) dx

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

    © Mister Exam – Calculator