Mister Exam

Lang:

Solving integrals/ 9^x

Integral of 9^x dx

You have entered [src]

$$\int\limits_{0}^{1} 9^{x}\, dx$$

Integral(9^x, (x, 0, 1))

Detail solution

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

$\int 9^{x}\, dx = \frac{9^{x}}{\log{\left(9 \right)}}$
Add the constant of integration:

$\frac{9^{x}}{\log{\left(9 \right)}}+ \mathrm{constant}$

The answer is:

$\frac{9^{x}}{\log{\left(9 \right)}}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                  
 |                x  
 |  x            9   
 | 9  dx = C + ------
 |             log(9)
/

$$\int 9^{x}\, dx = \frac{9^{x}}{\log{\left(9 \right)}} + C$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

  4   
------
log(3)

$$\frac{4}{\log{\left(3 \right)}}$$

  4   
------
log(3)

$$\frac{4}{\log{\left(3 \right)}}$$

4/log(3)

Numerical answer [src]

3.64095690650735

3.64095690650735

The graph

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