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Integral of 8^x dx

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$$\int\limits_{1}^{2} 8^{x}\, dx$$

Integral(8^x, (x, 1, 2))

Detail solution

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

$\int 8^{x}\, dx = \frac{8^{x}}{\log{\left(8 \right)}}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                  
 |                x  
 |  x            8   
 | 8  dx = C + ------
 |             log(8)
/

$$\int 8^{x}\, dx = \frac{8^{x}}{\log{\left(8 \right)}} + C$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

   56   
--------
3*log(2)

$$\frac{56}{3 \log{\left(2 \right)}}$$

   56   
--------
3*log(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.