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Solving integrals/ 3sqrt(x)

Integral of 3sqrt(x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  3           
  /           
 |            
 |      ___   
 |  3*\/ x  dx
 |            
/             
1
$$\int\limits_{1}^{3} 3 \sqrt{x}\, dx$$ 
Integral(3*sqrt(x), (x, 1, 3))
Detail solution

  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:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                       
 |                        
 |     ___             3/2
 | 3*\/ x  dx = C + 2*x   
 |                        
/
$$\int 3 \sqrt{x}\, dx = C + 2 x^{\frac{3}{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
         ___
-2 + 6*\/ 3
$$-2 + 6 \sqrt{3}$$ 
=
= 
         ___
-2 + 6*\/ 3
$$-2 + 6 \sqrt{3}$$ 
-2 + 6*sqrt(3)
Numerical answer [src] 
8.39230484541326
8.39230484541326

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

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