How do you integrate ? you!

eˣ + 4 ln |eˣ − 4| + C

Step-by-step explanation:

∫ e²ˣ / (eˣ − 4) dx

∫ eˣ / (eˣ − 4) eˣ dx

Use u substitution.

u = eˣ − 4

du = eˣ dx

∫ (u + 4) / u du

∫ (1 + 4/u) du

Integrate.

u + 4 ln |u| + C

Plug in:

eˣ − 4 + 4 ln |eˣ − 4| + C

eˣ + 4 ln |eˣ − 4| + C

what?

step-by-step explanation:

what do you need with. i love quadrants. can you tell me ?

a negative exponent is translated as follows:

so, we have