Definite Integral with Absolute Value |2x - 7| from 0 to 7/2

[@tgzgamerz320]

Simple and straight to the point, that's a like right there.

[@darkenchanter1599]

I was about to have a mental breakdown cuz of a question similar to this , I thank you kind sir for your work, keep it up and we love you + you are amazing²

[@TheMathSorcerer]

❤️

[@benedictsforester7045]

I have lx^2-x+2l and I will fail maths tomorrow at exam. It's been fun, see you on the other side

[@benedictsforester7045]

I have lx^2-x+2l and I will fail maths tomorrow at exam. It's been fun, see you on the other side

[@benedictsforester7045]

I have lx^2-x+2l and I will fail maths tomorrow at exam. It's been fun, see you on the other side

[@benedictsforester7045]

I have lx^2-x+2l and I will fail maths tomorrow at exam. It's been fun, see you on the other side

[@Francisco-lf3zi]

The substitution u=2x-7 greatly simplifies the calculations. You immediately get the integral from -7 to 7 of |u|/2 du. Which by parity is equal to the integral from 0 to 7 of u du = 1/2 u^2 evaluated from 0 to 7 = 49/2

[@sankarnathan6787]

I was very confused how to approach modulus function, Well done. Thank you :)

[@TheMathSorcerer]

Welcome❤️

[@doctorscalling9479]

For D^-1 abs 2x + 7, 0->7, it's much easier, figure why. Since x>|-7/3 for 2x+7|>0, within 0 and 7, abs 2x+7=2x+7

[@sudhanshuurmaliya2020]

I have similar doubt in question - integral 0 to 1 |2x-1|.dx But now i can do just simply with help of this video

[@sciventurousmind2260]

This can also be solved geometrically. This how it goes: 12.25 + 12.25 = 24.5 or 49/2

[@maroonhorizon1693]

So helpful! Corona time!

[@nicolenoel5666]

math triggers my anxiety and thiis really helped. thanks! 😭

[@tarekkad695]

hey thanks! i hope more people find out about your channel :D

[@TheMathSorcerer]

You are welcome and me too lol👍

[@pushpakumari6832]

It helped me a lot,sir Thanks

[@TheMathSorcerer]

Excellent

[@bhavanikasetty1299]

Thank you so much sir, a sum similar to this was frustrating me and I found this video it was so helpful!

[@theandroidgamerspidey3857]

Thank you sir . Love from india .

[@TheMathSorcerer]

You are welcome❤️

[@willow1-3]

That was really great man...thanks

[@TheMathSorcerer]

My pleasure!

[@sakibhossain7970]

Thanks... I was very interested in it

[@ladybongz]

Thanks alot this helped alot i will tell more people to subscribe to your channel 👏🏼

[@TheMathSorcerer]

thank you!

[@emmanuelgenerale2821]

Thanks

[@pragati_patil]

This was quite helpful. Thanks a ton!

[@abdimajidmohamed9926]

thanks

[@lunaTran-cl8is]

i dont understand how to determine which limit of intergral is - or +

[@MrGamer-fw6hh]

Thank youuuuuu, love from Egypt ❤❤❤❤

[@kf5hcr176]

I pray you are a teacher in a good school.

[@maiiii722]

what if i have integral of |x^2+4x| 😭

[@Rogsterius]

ty

[@TheMathSorcerer]

glad it helped!

[@casmirameko6943]

Great works here.

[@tiwongemakhumula6580]

what if we have been asked to evaluate in terms of area, can we use the same way?

[@foreverknight3448]

Pretty much definite Integration of a function is the area under it's curve.

[@troy2163]

thank you so much!

[@TheMathSorcerer]

You are welcome!

[@vimuth_04]

Very helpful! Thanks a lot 🫡

[@thebluebeyond2329]

I wish you could explained the boundaries MORE

[@urparvezali]

good solution

[@rahulmashelkar5128]

Awesome 👏

[@estevesamielandrew4257]

where do you get the x= 7/2

[@TheMathSorcerer]

Oh yeah, so here's a trick, so we have |2x - 7|, just set that equal to zero |2x - 7| = 0, so 2x - 7 = 0, so 2x = 7, so x = 7/2, always works for these types of problems:) That is where 2x - 7 changes sign, that's why we break it up at x = 7/2 Hope this helps!!

[@arlenemaesalera949]

@@TheMathSorcerer I understood the point on where to get the 7/2 but I'm still a bit confused why it's -(2x-7). :(

[@TheMathSorcerer]

Definition of absolute value, |x| = -x if x

[@TheMathSorcerer]

I will try to make more of these, this is always a hard topic for people

[@estevesamielandrew4257]

@@TheMathSorcerer thank u so much 💜✨✨✨✨✨✨ you're so great

[@NECTOMIC]

Where is 7/2 coming from

[@angelaguilar249]

I know this is late but I just think he equals the formula to 0. So 2x-7=0 to get x by itself which will get 7/2 at least that’s what I think.

[@NECTOMIC]

@@angelaguilar249 oh thank you

[@shivamyadavup7937]

I'm from India 🇮🇳

[@davidarndt4699]

This doesn’t make sense at all! No comprende! I do not understand Math at all! I hate it. Failed Algebra 1 twice in college! I just want to know: What does it mean to “ integrate” Two numbers. What’s it mean? How do you do it? And Why? What’s the purpose of it?