Tricky Integral! How to Solve it (Algebraic Manipulation vs Long Division) #viral
Learn Mathematics
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Tricky Integral! How to Solve it (Algebraic Manipulation vs Long Division) #viral
13 просмотров · 2 нед. назад
Learn Mathematics
9,23 тыс. подписчиков
13 просмотров · 2 нед. назад
In this video, we tackle a classic calculus integration problem:
∫ (x³ / (x + 1)) dx
Test your algebraic skills as we walk through step-by-step methods to solve this improper rational function! We'll cover algebraic manipulation (adding and subtracting 1 in the numerator) as well as polynomial long division to simplify the integrand before integrating term-by-term.
📌 Timestamps:
0:00 - Introduction & Problem Overview
0:40 - Method 1: Algebraic Trick (Adding and Subtracting 1)
3:15 - Method 2: Polynomial Long Division
5:30 - Term-by-Term Integration
7:10 - Final Answer & Constant of Integration (+C)
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