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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      
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 |   x   
 |  3  dx
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0
∫013x dx\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.

    ∫3x dx=3xlog⁡(3)\int 3^{x}\, dx = \frac{3^{x}}{\log{\left(3 \right)}}

  2. Add the constant of integration:

    3xlog⁡(3)+constant\frac{3^{x}}{\log{\left(3 \right)}}+ \mathrm{constant}

The answer is:

3xlog⁡(3)+constant\frac{3^{x}}{\log{\left(3 \right)}}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
 |                x  
 |  x            3   
 | 3  dx = C + ------
 |             log(3)
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∫3x dx=3xlog⁡(3)+C\int 3^{x}\, dx = \frac{3^{x}}{\log{\left(3 \right)}} + C
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.05.0
Plot the graph f(x)
The answer [src] 
  2   
------
log(3)
2log⁡(3)\frac{2}{\log{\left(3 \right)}} 
=
= 
  2   
------
log(3)
2log⁡(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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