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Solving integrals/ 6^x

Integral of 6^x dx

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$$\int\limits_{0}^{1} 6^{x}\, dx$$

Integral(6^x, (x, 0, 1))

Detail solution

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

$\int 6^{x}\, dx = \frac{6^{x}}{\log{\left(6 \right)}}$
Add the constant of integration:

$\frac{6^{x}}{\log{\left(6 \right)}}+ \mathrm{constant}$

The answer is:

$\frac{6^{x}}{\log{\left(6 \right)}}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                x  
 |  x            6   
 | 6  dx = C + ------
 |             log(6)
/

$$\int 6^{x}\, dx = \frac{6^{x}}{\log{\left(6 \right)}} + C$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

  5   
------
log(6)

$$\frac{5}{\log{\left(6 \right)}}$$

  5   
------
log(6)

$$\frac{5}{\log{\left(6 \right)}}$$

5/log(6)

Numerical answer [src]

2.79055313275624

2.79055313275624

The graph

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