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Solving integrals/ 4^x

Integral of 4^x dx

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$$\int\limits_{0}^{1} 4^{x}\, dx$$

Integral(4^x, (x, 0, 1))

Detail solution

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

$\int 4^{x}\, dx = \frac{4^{x}}{\log{\left(4 \right)}}$
Add the constant of integration:

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

The answer is:

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

The answer (Indefinite) [src]

  /                  
 |                x  
 |  x            4   
 | 4  dx = C + ------
 |             log(4)
/

$$\int 4^{x}\, dx = \frac{4^{x}}{\log{\left(4 \right)}} + C$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

   3    
--------
2*log(2)

$$\frac{3}{2 \log{\left(2 \right)}}$$

   3    
--------
2*log(2)

$$\frac{3}{2 \log{\left(2 \right)}}$$

3/(2*log(2))

Numerical answer [src]

2.16404256133345

2.16404256133345

The graph

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