integral( 1/sqrt(x),x, 0,1) = 2sqrt(x)

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- May 28th 2008, 08:52 AMszpengchaofind integral of this
integral( 1/sqrt(x),x, 0,1) = 2sqrt(x)

- May 28th 2008, 08:54 AMThePerfectHacker
- May 28th 2008, 10:22 AMszpengchaohow
how to?

- May 28th 2008, 10:24 AMChris L T521
- May 28th 2008, 10:25 AMszpengchao..
i mean from definition.... is it the only way to find integral?

- May 28th 2008, 10:32 AMMoo
- May 28th 2008, 10:34 AMszpengchaowell
i do it by riemann integrable.

define LRS and URS, i suceed to show LRS=URS, but cant show that LRS=2sqrt(a)

m...so we can say, becoz derivative of sqrt(x) is that, so the definite integral =2sqrt(x) - May 28th 2008, 12:30 PMThePerfectHacker
You cannot use the Riemann integral over here. The function $\displaystyle \frac{1}{\sqrt{x}}$ is even defined on $\displaystyle [0,1]$. If you had $\displaystyle [1,2]$ then it is possible to do it by definition, but not the way you posted the problem.