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Solving integrals/ 3^(1/2)*x+5

Integral of 3^(1/2)*x+5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2                 
  /                 
 |                  
 |  /  ___      \   
 |  \\/ 3 *x + 5/ dx
 |                  
/                   
0
$$\int\limits_{0}^{2} \left(\sqrt{3} x + 5\right)\, dx$$ 
Integral(sqrt(3)*x + 5, (x, 0, 2))
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 is when :

      So, the result is:

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

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                     
 |                                ___  2
 | /  ___      \                \/ 3 *x 
 | \\/ 3 *x + 5/ dx = C + 5*x + --------
 |                                 2    
/
$$\int \left(\sqrt{3} x + 5\right)\, dx = C + \frac{\sqrt{3} x^{2}}{2} + 5 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
         ___
10 + 2*\/ 3
$$2 \sqrt{3} + 10$$ 
=
= 
         ___
10 + 2*\/ 3
$$2 \sqrt{3} + 10$$ 
10 + 2*sqrt(3)
Numerical answer [src] 
13.4641016151378
13.4641016151378

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

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