Integral of sinx/1+sinx dx

The solution

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  1                     
  /                     
 |                      
 |  /sin(x)         \   
 |  |------ + sin(x)| dx
 |  \  1            /   
 |                      
/                       
0

$$\int\limits_{0}^{1} \left(\frac{\sin{\left(x \right)}}{1} + \sin{\left(x \right)}\right)\, dx$$

Simplify

Detail solution

Integrate term-by-term:
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \frac{\sin{\left(x \right)}}{1}\, dx = \int \sin{\left(x \right)}\, dx$
  1. Don't know the steps in finding this integral.
    
    But the integral is
    
    $- \cos{\left(x \right)}$
  So, the result is: $- \cos{\left(x \right)}$
1. The integral of sine is negative cosine:
  
  $\int \sin{\left(x \right)}\, dx = - \cos{\left(x \right)}$
The result is: $- 2 \cos{\left(x \right)}$
Add the constant of integration:

$- 2 \cos{\left(x \right)}+ \mathrm{constant}$

The answer is:

$- 2 \cos{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                   
 |                                    
 | /sin(x)         \                  
 | |------ + sin(x)| dx = C - 2*cos(x)
 | \  1            /                  
 |                                    
/

$$-2\,\cos x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

2 - 2*cos(1)

$$2\,\left(1-\cos 1\right)$$

2 - 2*cos(1)

$$- 2 \cos{\left(1 \right)} + 2$$

Simplify

Numerical answer [src]

0.919395388263721

0.919395388263721

The graph

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

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Identical expressions

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Integral of sinx/1+sinx dx

Limits of integration:

The graph:

Piecewise:

The solution