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cosx/1+sinx
Solving integrals/ cosx/1+sinx

Integral of cosx/1+sinx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Integrate term-by-term:

    1. The integral of sine is negative cosine:

    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:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                          
 |                                           
 | /cos(x)         \                         
 | |------ + sin(x)| dx = C - cos(x) + sin(x)
 | \  1            /                         
 |                                           
/
$$\int \left(\sin{\left(x \right)} + \frac{\cos{\left(x \right)}}{1}\right)\, dx = C + \sin{\left(x \right)} - \cos{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1 - cos(1) + sin(1)
$$- \cos{\left(1 \right)} + \sin{\left(1 \right)} + 1$$ 
=
= 
1 - cos(1) + sin(1)
$$- \cos{\left(1 \right)} + \sin{\left(1 \right)} + 1$$ 
1 - cos(1) + sin(1)
Numerical answer [src] 
1.30116867893976
1.30116867893976
The graph
Integral of cosx/1+sinx dx

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

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