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Solving integrals/ cost

Integral of cost dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. The integral of cosine is sine:

    ∫cos⁡(t) dt=sin⁡(t)\int \cos{\left(t \right)}\, dt = \sin{\left(t \right)}

  2. Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src] 
  /                      
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 | cos(t) dt = C + sin(t)
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∫cos⁡(t) dt=C+sin⁡(t)\int \cos{\left(t \right)}\, dt = C + \sin{\left(t \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
sin(1)
sin⁡(1)\sin{\left(1 \right)} 
=
= 
sin(1)
sin⁡(1)\sin{\left(1 \right)} 
sin(1)
Numerical answer [src] 
0.841470984807897
0.841470984807897
The graph
Integral of cost dx

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

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