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3^x
Solving integrals/ 3^x

Integral of 3^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   x   
 |  3  dx
 |       
/        
0
$$\int\limits_{0}^{1} 3^{x}\, dx$$ 
Integral(3^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            3   
 | 3  dx = C + ------
 |             log(3)
/
$$\int 3^{x}\, dx = \frac{3^{x}}{\log{\left(3 \right)}} + C$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  2   
------
log(3)
$$\frac{2}{\log{\left(3 \right)}}$$ 
=
= 
  2   
------
log(3)
$$\frac{2}{\log{\left(3 \right)}}$$ 
2/log(3)
Numerical answer [src] 
1.82047845325367
1.82047845325367
The graph
Integral of 3^x dx

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

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