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 = 1/⎷(x-2) , and (3,7) is a point on the curve. Find the equation of the curve." To try one yourself skip to 4:05 (solution posted at the bottom of this text). More Integration lessons coming soon! 😄
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I hope that you find the lesson useful. Subscribe to my KZbin channel to stay up to date with new uploads and follow me on Instagram @themathsprof for more maths! :-)
(Solution to question at 4:05 y=(1/3)(2x+5)^3/2 - 7)

[@anahechimhini5434]

Thank you for ur videos ❤️they are really helpful and easy to understand

[@MikuMiku-mv4do]

Thank you so much my best teacher ❤

[@definitelynotyourbestfriend]

I got into Yale thanks to this woman!! I really hope I can be like you some day! ❤

[@User-jr7vf]

Seriously? Wow

[@banineb8312]

Just a tip : you can change your thumb nail to be clear as students like me can not see what you are going to work out so we are not going to click on your vid .You can use canva or other websites to edit your thumbnail.This might come to you as weird but I’m just trying to help 😊

[@banineb8312]

Other math teachers get more views because of a clear thumbnail like mr j

[@banineb8312]

You can add a picture of yourself so people recognise you 😊

[@TheMathsProf]

Thanks for the tip - I tried canva for my latest thumbnail! What do you think for my first attempt? 😅

[@banineb8312]

That’s great but maybe a more clear picture of whaț you are going to solve