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Solving integrals/ ∫√3x+1dx

Integral of ∫√3x+1dx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |  /  _____    \   
 |  \\/ 3*x  + 1/ dx
 |                  
/                   
0
$$\int\limits_{0}^{1} \left(\sqrt{3 x} + 1\right)\, dx$$ 
Integral(sqrt(3*x) + 1, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

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

      But the integral 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] 
  /                                       
 |                                ___  3/2
 | /  _____    \              2*\/ 3 *x   
 | \\/ 3*x  + 1/ dx = C + x + ------------
 |                                 3      
/
$$\int \left(\sqrt{3 x} + 1\right)\, dx = C + \frac{2 \sqrt{3} x^{\frac{3}{2}}}{3} + x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
        ___
    2*\/ 3 
1 + -------
       3
$$1 + \frac{2 \sqrt{3}}{3}$$ 
=
= 
        ___
    2*\/ 3 
1 + -------
       3
$$1 + \frac{2 \sqrt{3}}{3}$$ 
1 + 2*sqrt(3)/3
Numerical answer [src] 
2.15470053837925
2.15470053837925

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

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