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Solving integrals/ 3dx/sqrt2x-5

Integral of 3dx/sqrt2x-5 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |  /   3       \   
 |  |------- - 5| dx
 |  |  _____    |   
 |  \\/ 2*x     /   
 |                  
/                   
0
$$\int\limits_{0}^{1} \left(-5 + \frac{3}{\sqrt{2 x}}\right)\, dx$$ 
Integral(3/sqrt(2*x) - 5, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

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

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

      1. Let .

        Then let and substitute :

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

        Now substitute back in:

      So, the result is:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                          
 |                                           
 | /   3       \                    ___   ___
 | |------- - 5| dx = C - 5*x + 3*\/ 2 *\/ x 
 | |  _____    |                             
 | \\/ 2*x     /                             
 |                                           
/
$$\int \left(-5 + \frac{3}{\sqrt{2 x}}\right)\, dx = C + 3 \sqrt{2} \sqrt{x} - 5 x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
         ___
-5 + 3*\/ 2
$$-5 + 3 \sqrt{2}$$ 
=
= 
         ___
-5 + 3*\/ 2
$$-5 + 3 \sqrt{2}$$ 
-5 + 3*sqrt(2)
Numerical answer [src] 
-0.757359314006251
-0.757359314006251

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

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