Integrate 10^x
To integrate 10^x, also written as ∫ 10x dx, we first recognise that this is an exponential and will require the base change technique.
At this step, we change the base as shown above.
We take log to the base e on both sides.
At this step, we find that lne=1, which simplifies the above expression.
We now have an expression for z.
We substitute for z in the expression 10^x=e^z to give the above expression.
As you can see, we now have a simpler integration, which is the same thing.
We integrate the simpler version, where C is the integration constant.
Since e^xln10=10^x, which we found earlier, we can substitute that to give the above expression.
Finally, this is the result.