@CptAllenHistory They crucified Jesus Christ, an innocent man, even Herod begged them to have mercy, they chose a thief over a saint. That blood is still haunting them till today.
1. Algebra is good for problem-solving.
2. Geometry is good for visual thinking.
3. Calculus is good for understanding change.
4. Statistics is good for decision-making.
5. Number theory is good for logical discipline.
6. Linear algebra is good for modern science and engineering.
7. Discrete math is good for computer science.
8. Differential equations are good for modeling the real world.
9. Optimization is good for smart planning.
10. Graph theory is good for network thinking.
11. Set theory is good for structured reasoning.
12. Practice is good for mathematical fluency.
13. Curiosity is good for lifelong learning in math.
Follow the ILATE rule to master integration by parts for products of functions.
The formula reads โซ u dv = uv โ โซ v du. It expands to f(x) times the integral of g(x) minus the integral of the derivative of f times the integral of g.
The example computes โซ (log x) ยท 1 dx as x log x โ x + C.
Physicists use integration by parts to determine the center of mass for objects with non-uniform density distributions.