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5^x
Solving integrals/ 5^x

Integral of 5^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   x   
 |  5  dx
 |       
/        
0
$$\int\limits_{0}^{1} 5^{x}\, dx$$ 
Integral(5^x, (x, 0, 1))
Detail solution

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

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                  
 |                x  
 |  x            5   
 | 5  dx = C + ------
 |             log(5)
/
$$\int 5^{x}\, dx = \frac{5^{x}}{\log{\left(5 \right)}} + C$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  4   
------
log(5)
$$\frac{4}{\log{\left(5 \right)}}$$ 
=
= 
  4   
------
log(5)
$$\frac{4}{\log{\left(5 \right)}}$$ 
4/log(5)
Numerical answer [src] 
2.48533973823845
2.48533973823845
The graph
Integral of 5^x dx

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

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