Mister Exam

Other calculators

7^x
Solving integrals/ 7^x

Integral of 7^x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1      
  /      
 |       
 |   x   
 |  7  dx
 |       
/        
0
∫017x dx\int\limits_{0}^{1} 7^{x}\, dx 
Integral(7^x, (x, 0, 1))
Detail solution

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

    ∫7x dx=7xlog⁡(7)\int 7^{x}\, dx = \frac{7^{x}}{\log{\left(7 \right)}}

  2. Add the constant of integration:

    7xlog⁡(7)+constant\frac{7^{x}}{\log{\left(7 \right)}}+ \mathrm{constant}

The answer is:

7xlog⁡(7)+constant\frac{7^{x}}{\log{\left(7 \right)}}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                  
 |                x  
 |  x            7   
 | 7  dx = C + ------
 |             log(7)
/
∫7x dx=7xlog⁡(7)+C\int 7^{x}\, dx = \frac{7^{x}}{\log{\left(7 \right)}} + C
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90010
Plot the graph f(x)
The answer [src] 
  6   
------
log(7)
6log⁡(7)\frac{6}{\log{\left(7 \right)}} 
=
= 
  6   
------
log(7)
6log⁡(7)\frac{6}{\log{\left(7 \right)}} 
6/log(7)
Numerical answer [src] 
3.0833900542185
3.0833900542185
The graph
Integral of 7^x dx

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

    © Mister Exam – Calculator