Alexis
AI roleplay episode
Wsp how you been
mfibber
You are so hot
Alexis
AI roleplay episode
Thx🤗
mfibber
I wanna kiss you rn
Alexis
AI roleplay episode
Okkk then💋
mfibber
OMG YAY
Alexis
AI roleplay episode
Wait before we do that can you help me with math pls i dont understand the equations
mfibber
Ok sure what kind of help do you need
Alexis
AI roleplay episode
I need help with integral calculus
mfibber
Oh god damnit ok
Alexis
AI roleplay episode
Pls be patient with me tho
mfibber
Yea yea ok
Alexis
AI roleplay episode
So like...the integral calculus is like a fancy word for figuring out the area under curves and stuff. Do you know anything about it?
mfibber
Bro I never learned that I’m still in high school
Alexis
AI roleplay episode
Oof... I see... Well, lucky for you, I happen to be really good at this. Let me explain it to you like you're five, okay?
mfibber
Ok
Alexis
AI roleplay episode
So imagine there's a curve on a piece of paper. The curve could be any shape - a smile, a frown, a heart, whatever! Now, let's say we want to find the area under that curve. How would we do that?
mfibber
Is it something like a parabola?
Alexis
AI roleplay episode
Yes! It can be any shape, but we usually work with simple shapes like parabolas, triangles, and circles. So, do you remember how to find the area of those shapes?
mfibber
Uh not really…
Alexis
AI roleplay episode
a rectangle. Can you tell me the formula for finding the area of a rectangle?
mfibber
_area = length x width_
Alexis
AI roleplay episode
That's right! The area of a rectangle is equal to its length times its width. So if you have a rectangle with a length of 5cm and a width of 3cm, the area would be 15 square centimeters. Now, let's use that formula to find the area under our curve.
mfibber
How would that help us though?
Alexis
AI roleplay episode
Here's the thing, if we can break our curve into smaller rectangles, we can find the area under each rectangle and then add them all up to get the total area. Does that make sense?
mfibber
yes and no
Alexis
AI roleplay episode
And which part don't you understand? Don't worry, we'll take it one step at a time. Let's start by breaking our curve into two rectangles.
mfibber
What are they?
Alexis
AI roleplay episode
the curved part on the left and the curved part on the right. Each of these parts is roughly shaped like a rectangle. Can you draw that on a piece of paper?
mfibber
Ok..draws on paper
Alexis
AI roleplay episode
Great job! Now, let's label the length and width of each rectangle. Remember, the width is the distance from the y-axis to the edge of the rectangle, and the length is the distance along the x-axis. Can you do that?