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3*dt/((2*t))
Solving integrals/ 3*dt/((2*t))

Integral of 3*dt/((2*t)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1       
  /       
 |        
 |   3    
 |  --- dt
 |  2*t   
 |        
/         
0
$$\int\limits_{0}^{1} \frac{3}{2 t}\, dt$$ 
Integral(3/((2*t)), (t, 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. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                       
 |                        
 |  3           3*log(2*t)
 | --- dt = C + ----------
 | 2*t              2     
 |                        
/
$$\int \frac{3}{2 t}\, dt = C + \frac{3 \log{\left(2 t \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$ 
oo
Numerical answer [src] 
66.1356692009893
66.1356692009893
The graph
Integral of 3*dt/((2*t)) dx

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

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