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Solving integrals/ 5sintcost

Integral of 5sintcost dt

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  t                   
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 |  5*sin(t*cos(t)) dt
 |                    
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0
$$\int\limits_{0}^{t} 5 \sin{\left(t \cos{\left(t \right)} \right)}\, dt$$ 
Integral(5*sin(t*cos(t)), (t, 0, t))
Detail solution

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

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

      But the integral is

    So, the result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                             /                
 |                             |                 
 | 5*sin(t*cos(t)) dt = C + 5* | sin(t*cos(t)) dt
 |                             |                 
/                             /
$$\int 5 \sin{\left(t \cos{\left(t \right)} \right)}\, dt = C + 5 \int \sin{\left(t \cos{\left(t \right)} \right)}\, dt$$
Simplify
The answer [src] 
    t                 
    /                 
   |                  
5* |  sin(t*cos(t)) dt
   |                  
  /                   
  0
$$5 \int\limits_{0}^{t} \sin{\left(t \cos{\left(t \right)} \right)}\, dt$$ 
=
= 
    t                 
    /                 
   |                  
5* |  sin(t*cos(t)) dt
   |                  
  /                   
  0
$$5 \int\limits_{0}^{t} \sin{\left(t \cos{\left(t \right)} \right)}\, dt$$ 
5*Integral(sin(t*cos(t)), (t, 0, t))

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

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