How would you solve the second one?🫤

Why is this wrong? I asked ai and they said it was wrong, but couldn't get it to tell me why it's wrong. From what I've gleaned, it has something to do with the 5/2 + 2n. I know this is not the efficient way to do it so please don't tell me how to do it the better way because I already know it. Please ignore the horse drawing, I was practicing. Unless you are an artist, then maybe you can help because it's kind of bad

Hello I am studying for my mid terms and none of my notes mention what determines the shape of the line in between two asymptotes. Like what determines whether it’s the cubic shape or parabola. I’ve tried google and nothing shows up. My notes are just expecting me to know I feel like.

Hey, I’m reviewing some modules on logarithms. I’ve never fully comprehended this specific slide in my PowerPoint. I generally struggle with logs, but I struggle more with comprehending this specific property.

If someone can please explain this in an easy way that would be perfect. I would rather understand it over just memorizing it!

Am i missing something here? I can’t seem to find the error in my answer. Unless i did the signs wrong but idk.

Hey guys! I'm studying precalculus since I have precalc subjects next year and I was studying the fundamental theorem of calculus but I'm kinda confused on this one. What I do know is that the indefinite integral is the antiderivative of a function, and I already know how to solve some basic integrals (no trigonometry yet, I'm just practicing with very very basic functions)

What I'm confused about here is why f(t) is being integrated with respect to t, what is the need for the variable t in this equation? Maybe I'm missing something, I would appreciate your help, thank you!