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5cosx
Solving integrals/ 5cosx

Integral of 5cosx dx

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The solution

You have entered [src] 
  pi            
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  6             
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  |  5*cos(x) dx
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-pi             
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 6
∫−π6π65cos⁡(x) dx\int\limits_{- \frac{\pi}{6}}^{\frac{\pi}{6}} 5 \cos{\left(x \right)}\, dx 
Integral(5*cos(x), (x, -pi/6, pi/6))
Detail solution

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

    ∫5cos⁡(x) dx=5∫cos⁡(x) dx\int 5 \cos{\left(x \right)}\, dx = 5 \int \cos{\left(x \right)}\, dx

    1. The integral of cosine is sine:

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

    So, the result is: 5sin⁡(x)5 \sin{\left(x \right)}

  2. Add the constant of integration:

    5sin⁡(x)+constant5 \sin{\left(x \right)}+ \mathrm{constant}

The answer is:

5sin⁡(x)+constant5 \sin{\left(x \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                          
 |                           
 | 5*cos(x) dx = C + 5*sin(x)
 |                           
/
5 sin⁡x5\,\sin x
Simplify
The graph
-0.50-0.40-0.30-0.20-0.100.000.100.200.300.400.50-1010
Plot the graph f(x)
The answer [src] 
5
10 sin⁡(π6)10\,\sin \left({{\pi}\over{6}}\right) 
=
= 
5
55
Simplify
Numerical answer [src] 
5.0
5.0
The graph
Integral of 5cosx dx

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

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