It is known that if m< (int) b f(x) dx < M(b-a)

a

Use this property to estimate the value of the given integral

x< (int) 4 5/(1+x^2) dx < x

0

I have no idea how to solve this one...

*note: It's less than or equal to, not just less than

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- Feb 8th 2010, 07:12 PMJgirl689Property of Integrals
It is known that if m< (int) b f(x) dx < M(b-a)

a

Use this property to estimate the value of the given integral

x< (int) 4 5/(1+x^2) dx < x

0

I have no idea how to solve this one...

*note: It's less than or equal to, not just less than - Feb 9th 2010, 02:35 AMKrizalid
Key: extreme value theorem.

- Feb 9th 2010, 02:15 PMJgirl689
So all it's saying is just integrate it?

Because if so, it would be just 0 and 6.629 because 1/ 1 + x^2 is interpreted as the arc tan of x + C (constant)...so

(int)4

0 = 5arc tan 0 is 0 and 5 arctan 4 = 6.629..right?