What is the integral of #e^(7x)#?
What you want to calculate is:
We're going to use u-substitution .
Differentiate (derivative) both parts:
Now we can replace everything in the integral:
Bring the constant upfront
The integral of
And replace the
There's also a shortcut you can use:
Whenever you have a function of which you know the integral
If you want to integrate this, it is always equal to
In this case:
If you use it more often, you will be able to do all these steps in your head.