The Maths Prof: Find equation of a curve from dy/dx & a point (x,y) (integration)

In this lesson I show you how to integrate to find the equation of a curve when given dy/dx and a point (x,y) on the curve. The question used for my example: "A curve is such that dy/dx = (2x³-6)/x² , and (3,7) is a point on the curve. Find the equation of the curve." To try one yourself skip to 4:37 (solution posted at the bottom of this text). More Integration lessons coming soon! 😄
Other related lessons that you may find useful can be found below 👇
🌟 Integration (Part 1) https://www.youtube.com/watch?v=t9Y4sjfPtJY&t=353s
🌟 Integration (Part 2) https://www.youtube.com/watch?v=9FAXOk0XjUo&t=20s
🌟 Find y in terms of x when given dy/dx (integration) https://www.youtube.com/watch?v=c9l2dXtAHCQ&t=611s
🌟 Find f(x) in terms of x when given f'(x) (integration) https://www.youtube.com/watch?v=UhTENep9P2E
🌟 Find equation of a curve from dy/dx & a point (x,y) (integration) https://www.youtube.com/watch?v=kaSHOzjZVfA&t=58s
🌟 Differentiation https://www.youtube.com/watch?v=YAE29Ot2WWw
🌟 AS Level Differentiation EXAM QUESTIONS https://www.youtube.com/watch?v=gjGOvO4a9R0&t=973s
I hope that you find the lesson useful. Subscribe to my YouTube channel to stay up to date with new uploads and follow me on Instagram @themathsprof for more maths! :-)
(Solution to question at 4:37 y=2x³-x²+5)

Видео The Maths Prof: Find equation of a curve from dy/dx & a point (x,y) (integration) канала The Maths Prof