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

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

[tgzgamerz]

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

[darkenchanter]

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

[sankarnathan]

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

[tarekkad]

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

[Francisco-lfzi]

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

[sudhanshuurmaliya]

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

[ladybongz]

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

[nicolenoel]

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

[bhavanikasetty]

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

[doctorscalling]

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

[sciventurousmind]

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

[kfhcr]

I pray you are a teacher in a good school.

[thebluebeyond]

I wish you could explained the boundaries MORE

[lunaTran-clis]

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

[tiwongemakhumula]

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

[davidarndt]

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?

[Weedwacker]

How do I use this for finding the average value?