Question

Need help with a Calculus question, screenshot in the comments.

Answer 1

So we have \[\int^8_2 (10x+9)dx\]
do you know the \[\int 10xdx=?\]?

Answer 2

10x^2/2 or 5x^2, correct?

Answer 3

I prefer 5x^, but yes both are correct, so now, how about \[\int 9dx=?\]

Answer 4

5x^2***

Answer 5

9x.

Answer 6

now I plug in and add them together, right?

Answer 7

also, if I don't come back tag me cause I'm not getting notifications

Answer 8

Roger that.

Answer 9

yep, evaluate it on (2,8)

Answer 10

[2,8] **

Answer 11

I'm getting 430, but my homework is saying that' I'm wrong.

Answer 12

seems a little high, show me what you are doing?

Answer 13

(5(2)^2 + 9(2)) + (5(8)^2+9(8))

Answer 14

ah ok, that's why, so when you have an integral you want to use the FTC

Answer 15

This is:

Answer 16

Is it the f(b)-f(a) thing?

Answer 17

\[\int^b_a f(x)=F(b)-F(a)\] Given F is the antiderivative of f

Answer 18

yup yup

Answer 19

So I got 358 this time, which was right! Thanks!

Answer 20

np, just sort of have to memorize the FTC

Answer 21

very important very. But best of luck!