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Solving integrals/ dt/tlnt

Integral of dt/tlnt dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |     1     
 |  1*---- dt
 |    tlnt   
 |           
/            
0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{tlnt}\, dt$$ 
Integral(1/tlnt, (t, 0, 1))
Detail solution

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

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                    
 |                     
 |    1             t  
 | 1*---- dt = C + ----
 |   tlnt          tlnt
 |                     
/
$${{t}\over{{\it tlnt}}}$$
Simplify
The answer [src] 
 1  
----
tlnt
$${{1}\over{{\it tlnt}}}$$ 
=
= 
 1  
----
tlnt
$$\frac{1}{tlnt}$$
Simplify

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

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