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dx/1+sinx
Solving integrals/ dx/1+sinx

Integral of dx/1+sinx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                  
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 |  (1.0 + sin(x)) dx
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0
$$\int\limits_{0}^{1} \left(\sin{\left(x \right)} + 1.0\right)\, dx$$ 
Integral(1.0 + 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 is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                      
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 | (1.0 + sin(x)) dx = C - cos(x) + 1.0*x
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$$\int \left(\sin{\left(x \right)} + 1.0\right)\, dx = C + 1.0 x - \cos{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
2.0 - cos(1)
$$2.0 - \cos{\left(1 \right)}$$ 
=
= 
2.0 - cos(1)
$$2.0 - \cos{\left(1 \right)}$$ 
2.0 - cos(1)
Numerical answer [src] 
1.45969769413186
1.45969769413186
The graph
Integral of dx/1+sinx dx

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

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