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

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

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The solution

You have entered [src] 
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∫01(cos⁡(x)1+cos⁡(x)) dx\int\limits_{0}^{1} \left(\frac{\cos{\left(x \right)}}{1} + \cos{\left(x \right)}\right)\, dx 
Integral(cos(x)/1 + cos(x), (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of a constant times a function is the constant times the integral of the function:

      ∫cos⁡(x)1 dx=∫cos⁡(x) dx\int \frac{\cos{\left(x \right)}}{1}\, dx = \int \cos{\left(x \right)}\, dx

      1. Don't know the steps in finding this integral.

        But the integral is

        sin⁡(x)\sin{\left(x \right)}

      So, the result is: sin⁡(x)\sin{\left(x \right)}

    1. The integral of cosine is sine:

      ∫cos⁡(x) dx=sin⁡(x)\int \cos{\left(x \right)}\, dx = \sin{\left(x \right)}

    The result is: 2sin⁡(x)2 \sin{\left(x \right)}

  2. Add the constant of integration:

    2sin⁡(x)+constant2 \sin{\left(x \right)}+ \mathrm{constant}

The answer is:

2sin⁡(x)+constant2 \sin{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
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∫(cos⁡(x)1+cos⁡(x)) dx=C+2sin⁡(x)\int \left(\frac{\cos{\left(x \right)}}{1} + \cos{\left(x \right)}\right)\, dx = C + 2 \sin{\left(x \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
2*sin(1)
2sin⁡(1)2 \sin{\left(1 \right)} 
=
= 
2*sin(1)
2sin⁡(1)2 \sin{\left(1 \right)} 
2*sin(1)
Numerical answer [src] 
1.68294196961579
1.68294196961579
The graph
Integral of cos(x)/1+cos(x) dx

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

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