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cosx+1
Solving integrals/ cosx+1

Integral of cosx+1 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Integrate term-by-term:

    1. The integral of cosine is sine:

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

    1. The integral of a constant is the constant times the variable of integration:

      ∫1 dx=x\int 1\, dx = x

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

  2. Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src] 
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 | (cos(x) + 1) dx = C + x + sin(x)
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sin⁡x+x\sin x+x
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
1 + sin(1)
sin⁡1+1\sin 1+1 
=
= 
1 + sin(1)
sin⁡(1)+1\sin{\left(1 \right)} + 1
Упростить
Numerical answer [src] 
1.8414709848079
1.8414709848079
The graph
Integral of cosx+1 dx

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

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