Question

How would you solve this? Attached inside! :) thanks! :D

Answer 1

problem!

Answer 2

The integral looks like this: after we substitue in the values we know

Answer 3

Because they stated that \(f(t) = F'(t)\) So
\(\int f(t) dt = \int F'(t)dt\)

Answer 4

\(F(t) = t^2\)
So @iheartfood, \(F'(t) = ?\)

Answer 5

ermm is it using one of the a or b values? :/

Answer 6

like would t mean F(b) - F(a) ?

Answer 7

We'll get to that in a minute. For this, you need to focus on one step at a time. Just calculate \(F'(t)\) for the moment.

Answer 8

okay:)
umm it equals f(t) ?

Answer 9

not quite sure how to find the exact value of f(t) :(

Answer 10

Actually \(F(t) = t^2\)

Answer 11

ohhhhh okay

Answer 12

So we can easily find \(F'(t)\)

Answer 13

2t?

Answer 14

Correct...

Answer 15

yay! :)

Answer 16

So now, \(F'(t) = 2t\) and a = 1 b = 4 so

\[\int_{1}^{4} 2t dt\]

Answer 17

You should be able to compute that relatively easily.

Answer 18

okay:)

Answer 19

2(4) + 2(1) ? :/ not really sure of this part :/

Answer 20

The formula is F(b) - F(a)
It's correct but replace the plus sign with a negative one

Answer 21

ohh okay so 8 - 2 = 6?

Answer 22

Yup

Answer 23

ohh so it'll look like this?