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Solving integrals/ 1/1+cos(x)

Integral of 1/1+cos(x) dx

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

Integral(1 + cos(x), (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of cosine is sine:
  
  $\int \cos{\left(x \right)}\, dx = \sin{\left(x \right)}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dx = x$
The result is: $x + \sin{\left(x \right)}$
Add the constant of integration:

$x + \sin{\left(x \right)}+ \mathrm{constant}$

The answer is:

$x + \sin{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | (1 + cos(x)) dx = C + x + sin(x)
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$$\int \left(\cos{\left(x \right)} + 1\right)\, dx = C + x + \sin{\left(x \right)}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

1 + sin(1)

$$\sin{\left(1 \right)} + 1$$

1 + sin(1)

$$\sin{\left(1 \right)} + 1$$

1 + sin(1)

Numerical answer [src]

1.8414709848079

1.8414709848079

The graph

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