Mister Exam

Other calculators

2^x
Solving integrals/ 2^x

Integral of 2^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   x   
 |  2  dx
 |       
/        
0
∫012x dx\int\limits_{0}^{1} 2^{x}\, dx 
Integral(2^x, (x, 0, 1))
Detail solution

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

    ∫2x dx=2xlog⁡(2)\int 2^{x}\, dx = \frac{2^{x}}{\log{\left(2 \right)}}

  2. Add the constant of integration:

    2xlog⁡(2)+constant\frac{2^{x}}{\log{\left(2 \right)}}+ \mathrm{constant}

The answer is:

2xlog⁡(2)+constant\frac{2^{x}}{\log{\left(2 \right)}}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
 |                x  
 |  x            2   
 | 2  dx = C + ------
 |             log(2)
/
∫2x dx=2xlog⁡(2)+C\int 2^{x}\, dx = \frac{2^{x}}{\log{\left(2 \right)}} + C
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
  1   
------
log(2)
1log⁡(2)\frac{1}{\log{\left(2 \right)}} 
=
= 
  1   
------
log(2)
1log⁡(2)\frac{1}{\log{\left(2 \right)}} 
1/log(2)
Numerical answer [src] 
1.44269504088896
1.44269504088896
The graph
Integral of 2^x dx

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

    © Mister Exam – Calculator