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4^x
Solving integrals/ 4^x

Integral of 4^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   
 |  4  dx
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0
∫014x dx\int\limits_{0}^{1} 4^{x}\, dx 
Integral(4^x, (x, 0, 1))
Detail solution

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

    ∫4x dx=4xlog⁡(4)\int 4^{x}\, dx = \frac{4^{x}}{\log{\left(4 \right)}}

  2. Add the constant of integration:

    4xlog⁡(4)+constant\frac{4^{x}}{\log{\left(4 \right)}}+ \mathrm{constant}

The answer is:

4xlog⁡(4)+constant\frac{4^{x}}{\log{\left(4 \right)}}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
 |                x  
 |  x            4   
 | 4  dx = C + ------
 |             log(4)
/
∫4x dx=4xlog⁡(4)+C\int 4^{x}\, dx = \frac{4^{x}}{\log{\left(4 \right)}} + C
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9005
Plot the graph f(x)
The answer [src] 
   3    
--------
2*log(2)
32log⁡(2)\frac{3}{2 \log{\left(2 \right)}} 
=
= 
   3    
--------
2*log(2)
32log⁡(2)\frac{3}{2 \log{\left(2 \right)}} 
3/(2*log(2))
Numerical answer [src] 
2.16404256133345
2.16404256133345
The graph
Integral of 4^x dx

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

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