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Solving integrals/ 8^x

Integral of 8^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2      
  /      
 |       
 |   x   
 |  8  dx
 |       
/        
1
∫128x dx\int\limits_{1}^{2} 8^{x}\, dx 
Integral(8^x, (x, 1, 2))
Detail solution

  1. The integral of an exponential function is itself divided by the natural logarithm of the base.

    ∫8x dx=8xlog⁡(8)\int 8^{x}\, dx = \frac{8^{x}}{\log{\left(8 \right)}}

  2. Add the constant of integration:

    8xlog⁡(8)+constant\frac{8^{x}}{\log{\left(8 \right)}}+ \mathrm{constant}

The answer is:

8xlog⁡(8)+constant\frac{8^{x}}{\log{\left(8 \right)}}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
 |                x  
 |  x            8   
 | 8  dx = C + ------
 |             log(8)
/
∫8x dx=8xlog⁡(8)+C\int 8^{x}\, dx = \frac{8^{x}}{\log{\left(8 \right)}} + C
Simplify
The graph
1.002.001.101.201.301.401.501.601.701.801.900100
Plot the graph f(x)
The answer [src] 
   56   
--------
3*log(2)
563log⁡(2)\frac{56}{3 \log{\left(2 \right)}} 
=
= 
   56   
--------
3*log(2)
563log⁡(2)\frac{56}{3 \log{\left(2 \right)}} 
56/(3*log(2))
Numerical answer [src] 
26.9303074299273
26.9303074299273

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

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