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I Impressed My Boss With THIS Solution 💰 

Number Ninjas
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In this video, I show you how this definite integral can be a real world example of impressing your boss with some calculus 2! Integration tactics are important on your ap calc bc exam and by the end of the video, my hope is you'll use the ninja tricks you learned to quickly ace problems like this!
For this problem, we are given info that the definite integral equals 4, and so we need to figure out the upper limit of integration, n, that satisfies this equation. We'll use some algebra here by factoring the numerator and finally solving a resulting quadratic function to get the answer!
If you need a refresh on how to solve definite integrals, check out this video!
• This Quick And Easy Me...
0:00 - Intro
0:27 - Factoring The Numerator
0:42 - Breaking Up The Integral
1:12 - Evaluating The Integrals

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26 июл 2024

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Комментарии : 18   
@ml09394
@ml09394 28 дней назад
Students: I will never use calc or the quadratic formula in real life Number Ninja: nuh uh
@NumberNinjaDave
@NumberNinjaDave 28 дней назад
@@ml09394 hahaha, facts
@NumberNinjaDave
@NumberNinjaDave Месяц назад
It can be frustrating wondering if you'll ever use calc in real life. Can you think of a time where YOU might get to use it?
@doraemon402
@doraemon402 28 дней назад
0:40 You can't just do that without mentioning the fact that the integration interval may contain 1, which isn't defined but doesn't change the integral because the value of the two functions is the same "almost everywhere", in this case, everywhere but 1 point, which has zero measure.
@NumberNinjaDave
@NumberNinjaDave 28 дней назад
@@doraemon402 remember that for limits, what matters is that you don’t have jump discontinuity at a point and note what the fundamental theorem of calculus says. You are correct though when talking about the domain of the original differential
@DanDart
@DanDart 27 дней назад
Honestly I would recommend completing the square.
@NumberNinjaDave
@NumberNinjaDave 27 дней назад
Feel free to!
@undead_donut6468
@undead_donut6468 28 дней назад
2:30 you can just skip the whole quadratic formula by factorising to (n+4)(n-2) = 0 which gets you n = 2 as n cannot be negative.
@NumberNinjaDave
@NumberNinjaDave 28 дней назад
Great observation! You truly are a 🥷
@undead_donut6468
@undead_donut6468 28 дней назад
also would love to have a boss like this lol
@NumberNinjaDave
@NumberNinjaDave 28 дней назад
Hahaha that would be epic
@teerthpaliwal727
@teerthpaliwal727 28 дней назад
Shouldn't the answer be 3
@NumberNinjaDave
@NumberNinjaDave 28 дней назад
@@teerthpaliwal727 no
@NumberNinjaDave
@NumberNinjaDave 28 дней назад
@@teerthpaliwal727 (1/2)(3^2) + 3 = ?
@teerthpaliwal727
@teerthpaliwal727 28 дней назад
Oh ryt, sorry I literally forgot abt integrating, I just did the (x + 1)(x -1 ) / (x - 1) ... Im sorry, my mistake, thanks for correcting:)
@NumberNinjaDave
@NumberNinjaDave 28 дней назад
@@teerthpaliwal727 all good 🥷
@archangecamilien1879
@archangecamilien1879 29 дней назад
Lol...=n...
@NumberNinjaDave
@NumberNinjaDave 29 дней назад
@@archangecamilien1879 watch the video tomorrow to see if you’re correct
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