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Solving integrals/ cosx+3

Integral of cosx+3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 5*pi               
 ----               
  6                 
   /                
  |                 
  |  (cos(x) + 3) dx
  |                 
 /                  
 0
$$\int\limits_{0}^{\frac{5 \pi}{6}} \left(\cos{\left(x \right)} + 3\right)\, dx$$ 
Integral(cos(x) + 3, (x, 0, 5*pi/6))
Detail solution

  1. Integrate term-by-term:

    1. The integral of cosine is sine:

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

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                  
 |                                   
 | (cos(x) + 3) dx = C + 3*x + sin(x)
 |                                   
/
$$\int \left(\cos{\left(x \right)} + 3\right)\, dx = C + 3 x + \sin{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1   5*pi
- + ----
2    2
$$\frac{1}{2} + \frac{5 \pi}{2}$$ 
=
= 
1   5*pi
- + ----
2    2
$$\frac{1}{2} + \frac{5 \pi}{2}$$ 
1/2 + 5*pi/2
Numerical answer [src] 
8.35398163397448
8.35398163397448

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

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