INTEGRAL OF e^x

Step 1:

Let u = x and du = dx

Step 2:

Now we can express our integral in terms of u and du:

∫1/x dx = ∫du/u

Step 3:

Integrate both sides with respect to u:

∫du/u = ln|u| + C

Step 4:

Now we can substitute back x for u:

ln|x| + C = ln|x| + C

Step 5:

The final solution is:

∫1/x dx = ln|x| + C

Note: The absolute value is used to account for cases where x could be negative.