Question

solve problem using the fundamental theorem of calculus:
f'(x)=cos(x^3) and f(0)=2. Find f(1).
Please and thank you :)

Answer 1

We need to find f given f'
To do we need to integrate f'

Answer 2

are you sure its cos(x^3)

Answer 3

yup.. completely sure :)

Answer 4

so this is advanced calculus?

Answer 5

or complex analysis

Answer 6

I guess.. my teacher's kinda cruel xD..

Answer 7

i can't help you with this one. cos(x^3) is not an elementary integral

Answer 8

sorry

Answer 9

It says you can use a calculator though. Would that make a difference? :(

Answer 10

are you sure it isn't cos^3(x)?

Answer 11

nope, it definitely is not.

Answer 12

:(

Answer 13

the indefinate inate integral is here: http://www.wolframalpha.com/input/?i=integral%28cos%28x%5E3%29%29

Answer 14

idk if that helps

Answer 15

zed you got anything to say about this problem?

Answer 16

I think we need to use the Maclaurin series expansion of cos(x^3)

Answer 17

We would only be able to approximate the constant that way right?

Answer 18

yes that's correct.

Answer 19

It doesn't make sense. He just posted a cal 1 problem above.

Answer 20

Have you learned about Macluarin series?

Answer 21

No.... @.@

Answer 22

I think it was a mistake that this problem was given to you. You are talking about the fundamental thm of calculus with a extremely tough integral (one that is not elementary).

Answer 23

I think myininaya is right, this is quite difficult to do.

Answer 24

if it was cos^3(x) that would have been doable by cal 1 ways

Answer 25

alright, I'll leave it for last... If anything, I'll just complain to my professor xD.. Thank you guys very much

Answer 26

or maybe cal 2 whatever