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dx/3+5cosx
Solving integrals/ dx/3+5cosx

Integral of dx/3+5cosx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                    
  /                    
 |                     
 |  /  1           \   
 |  |1*- + 5*cos(x)| dx
 |  \  3           /   
 |                     
/                      
0
$$\int\limits_{0}^{1} \left(5 \cos{\left(x \right)} + 1 \cdot \frac{1}{3}\right)\, dx$$
Simplify
Detail solution

  1. Integrate term-by-term:

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

      1. The integral of cosine is sine:

      So, the result is:

    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] 
  /                                      
 |                                       
 | /  1           \                     x
 | |1*- + 5*cos(x)| dx = C + 5*sin(x) + -
 | \  3           /                     3
 |                                       
/
$$5\,\sin x+{{x}\over{3}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/3 + 5*sin(1)
$${{15\,\sin 1+1}\over{3}}$$ 
=
= 
1/3 + 5*sin(1)
$$\frac{1}{3} + 5 \sin{\left(1 \right)}$$
Simplify
Numerical answer [src] 
4.54068825737282
4.54068825737282
The graph
Integral of dx/3+5cosx dx

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

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