Mister Exam

Other calculators

Solving integrals/ 3*dx/(4*x-1)

Integral of 3*dx/(4*x-1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     3      
 |  ------- dx
 |  4*x - 1   
 |            
/             
0
$$\int\limits_{0}^{1} \frac{3}{4 x - 1}\, dx$$ 
Integral(3/(4*x - 1), (x, 0, 1))
Detail solution

  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 times a function is the constant times the integral of the function:

        1. The integral of is .

        So, the result is:

      Now substitute back in:

    So, the result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                               
 |                                
 |    3             3*log(4*x - 1)
 | ------- dx = C + --------------
 | 4*x - 1                4       
 |                                
/
$$\int \frac{3}{4 x - 1}\, dx = C + \frac{3 \log{\left(4 x - 1 \right)}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
nan
$$\text{NaN}$$ 
=
= 
nan
$$\text{NaN}$$ 
nan
Numerical answer [src] 
-13.472095873236
-13.472095873236

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

    © Mister Exam – Calculator