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👇 FREE Study Guide 👇 Crush your next exam! Subscribe to my newsletter to get your free guide AND MORE: https://www.numberninjasmaths.com/#ne... 🎮 Master Math with my NEW Number Ninjas Math Game! 🎮 I created this fun, family-friendly math puzzle game (not calculus) to help you level up your math skills on iPhone / iPad! Check it out: https://tinyurl.com/NumberNinjasGame ⭐ Support the Ninjas! ⭐ Become a Member: Get MORE guides & goodies! https://tinyurl.com/JoinTheNinjaDojo Ninja Swag: Rock the look, grab a mug & more! https://tinyurl.com/NumberNinjaDaveStore 📚 Recommended Math Tools & Resources 📚 (Affiliate Links Below - As an Amazon Associate, I earn from qualifying purchases. Helps support the channel!) Conquer Exam Anxiety: Take care of YOU! https://amzn.to/3Y2LWKv Crush the AP Calculus Exam: Dominate the test! https://amzn.to/4ilFe9K Ultimate Calculus Calculator: This thing is a BEAST! https://amzn.to/4eBNeRS Precision Ruler: Super precise & handy! https://amzn.to/4doupRk 🛠 My YouTube Toolkit 🛠 I use VidIQ to make better videos for you! Check it out (I get a small commission): https://vidiq.com/numberninjadave In this video, I'll show you how to solve a definite integral problem that looks intimidating but is actually super simple once you know the right approach. We're given that the definite integral of x^n from 0 to 100 equals 100, and our goal is to find the exponent, n. Using a special property of logarithms, I'll walk you through each step of the calculation, revealing the simple trick that makes this calculus bc problem a breeze. Get ready to crush your ap calculus exam and become a math ninja with this easy-to-follow guide! 0:00 - Introduction to the definite integral problem 0:12 - Review of the Power Rule for Integration 0:39 - Setting up the definite integral with the limits of integration 1:11 - Evaluating the integral at the limits 1:49 - Simplifying the equation 2:11 - Using logarithms to solve for n 2:35 - Finding a trivial solution for n 4:09 - Your homework problem: Find the other solution