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1/t
Solving integrals/ 1/t

Integral of 1/t dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1     
  /     
 |      
 |  1   
 |  - dt
 |  t   
 |      
/       
0
∫011t dt\int\limits_{0}^{1} \frac{1}{t}\, dt 
Integral(1/t, (t, 0, 1))
Detail solution

  1. The integral of 1t\frac{1}{t} is log⁡(t)\log{\left(t \right)}.

  2. Add the constant of integration:

    log⁡(t)+constant\log{\left(t \right)}+ \mathrm{constant}

The answer is:

log⁡(t)+constant\log{\left(t \right)}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                 
 |                  
 | 1                
 | - dt = C + log(t)
 | t                
 |                  
/
∫1t dt=C+log⁡(t)\int \frac{1}{t}\, dt = C + \log{\left(t \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9020000-10000
Plot the graph f(x)
The answer [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo
Numerical answer [src] 
44.0904461339929
44.0904461339929
The graph
Integral of 1/t dx

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

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