## akl3644 3 years ago if f(x) approximate g(x) within 1/3000 for 10<x<12 then integral f(x)dx from 10 to 12 approximates integral g(x)dx from 10 to 12 to how many accurate decimals

1. satellite73

you always come up with the damndest questions but lets say $$f(x)=0$$ and $$g(x)=\frac{1}{3000}$$ which is as far as it can be then $\int_{10}^{12}f(x)dx=0$ and $\int_{10}^{12}\frac{1}{3000}=\frac{2}{3000}$

2. satellite73

a more sophisticated way to answer would be to say that $\int f -\int g =\int (f-g)\leq \int \frac{1}{3000}=\frac{2}{3000}$

3. satellite73

an even more sophisticated way to answer would be to use absolute values, but enough already

4. satellite73

did you get an answer to that series with the squares? that bedevilled me for a while

5. akl3644

the series with squares? which one..i don't even remember..lol

6. satellite73

$x+2^2x^2+3^2x^3+4^2x^4+...$

7. satellite73

or maybe it started with 1, i don't remember but i could not figure out how to get that square there

8. akl3644

i think the series is e^x expansion and minus first two term....lol right?

9. satellite73

yeah right your questions vary from more or less immediately obvious to wtf with very little in between

10. satellite73

maybe a bi-polar professor?

11. akl3644

i don't know ..i'm taking an online calculus...it's really frustrate me