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Identical expressions
tg(pi/ two ^x)
tg( Pi divide by 2 to the power of x)
tg( Pi divide by two to the power of x)
tg(pi/2x)
tgpi/2x
tgpi/2^x
tg(pi divide by 2^x)
tg(pi/2^x)dx

Integral of tg(pi/2^x) dx

The solution

You have entered [src]

  1           
  /           
 |            
 |     /pi\   
 |  tan|--| dx
 |     | x|   
 |     \2 /   
 |            
/             
0

$$\int\limits_{0}^{1} \tan{\left(\frac{\pi}{2^{x}} \right)}\, dx$$

Integral(tan(pi/2^x), (x, 0, 1))

Detail solution

Rewrite the integrand:

$\tan{\left(\frac{\pi}{2^{x}} \right)} = \frac{\sin{\left(2^{- x} \pi \right)}}{\cos{\left(2^{- x} \pi \right)}}$
Don't know the steps in finding this integral.

But the integral is

$\int \frac{\sin{\left(2^{- x} \pi \right)}}{\cos{\left(2^{- x} \pi \right)}}\, dx$
Now simplify:

$\int \tan{\left(2^{- x} \pi \right)}\, dx$
Add the constant of integration:

$\int \tan{\left(2^{- x} \pi \right)}\, dx+ \mathrm{constant}$

The answer is:

$\int \tan{\left(2^{- x} \pi \right)}\, dx+ \mathrm{constant}$

The answer (Indefinite) [src]

                      /              
  /                  |               
 |                   |    /    -x\   
 |    /pi\           | sin\pi*2  /   
 | tan|--| dx = C +  | ----------- dx
 |    | x|           |    /    -x\   
 |    \2 /           | cos\pi*2  /   
 |                   |               
/                   /

$$\int \tan{\left(\frac{\pi}{2^{x}} \right)}\, dx = C + \int \frac{\sin{\left(2^{- x} \pi \right)}}{\cos{\left(2^{- x} \pi \right)}}\, dx$$

Simplify

The answer [src]

  1               
  /               
 |                
 |     /    -x\   
 |  tan\pi*2  / dx
 |                
/                 
0

$$\int\limits_{0}^{1} \tan{\left(2^{- x} \pi \right)}\, dx$$

  1               
  /               
 |                
 |     /    -x\   
 |  tan\pi*2  / dx
 |                
/                 
0

$$\int\limits_{0}^{1} \tan{\left(2^{- x} \pi \right)}\, dx$$

Integral(tan(pi*2^(-x)), (x, 0, 1))

Numerical answer [src]

-39.9417060256515

-39.9417060256515

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

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Identical expressions

Integral of tg(pi/2^x) dx

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The solution