Question

Dem definite integrals
@Luigi0210

Answer 1

\[\huge \int\limits_{0}^{4} x^2 + 2 dx\]

Answer 2

first you integrate it..

Answer 3

\[\huge = \frac{ x^3 }{ 3 } + 2x\]

Answer 4

then do dis rite?
\[\huge \frac{(4)^3 }{ 3 } + 2(4) - ( \frac{ (0)^3 }{ 3 } + 2(0) )\]

Answer 5

Correct my good sir

Answer 6

thank you sir.

\[\huge (\frac{ 64 }{ 3 } + 8) - 2 = 88/3 - 2\]
\[\huge \frac{ 82 }{ 3 }\]

Answer 7

Good job my good sir, you have learned well.

Answer 8

yay

Answer 9

And btw, if you have a calculator, you can do it on there too :D

Answer 10

yeah, on a graphing calc, i have one but have no idea how to use it lol

Answer 11

I can teach you, but what kind of graphing calc?

Answer 12

ti-84 plus

Answer 13

Good, we got dis then ლ(́◉◞౪◟◉‵ლ)

Answer 14

Okay, so let's try it mathematically first:
\[\LARGE \int\limits_{0}^{10}~2x~dx\]
Solve this simple one

Answer 15

\[\huge \frac{ 2x^2 }{ 2 }\]
\[\huge x^2\]
do i have to write the constant C in this though?

Answer 16

\[\huge (10)^2 - (0)^2 = 100\]

Answer 17

Nope, +/-C is only in indefinite integrals. And correct, now get your calculator

Answer 18

Oh, i see.
got it with me.

Answer 19

So start off by graphing 2x

Answer 20

done

Answer 21

Now that you're on the graphing screen, press "2nd" and then to the top press the button that says "Trace"

Answer 22

and option 7: it has the integral sign and f(x) dx that one?

Answer 23

Correct, so press that one

Answer 24

And it will give you a "Lower Limit?" and "Upper Limit" which you can just type in with the keypad thing.

Answer 25

Those limits are the ones on the integral

Answer 26

So it should be Lower Limit 0, enter, and Upper Limit 10, enter, and you should get 100

Answer 27

yeah i got 100

Answer 28

sweet, thanks :D

Answer 29

Anytime brah