How would I evaluate this integral using the 2nd Fundamental Theorem of Calculus? Thanks in advance.
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Ahh I love these questions. Let . Thus . Now rewrite to an integral integral with this substitution. Now for the bounds. For the first bound let and for the second let . So the bounds are from 0 to 2. Got it?
Originally Posted by Jameson Ahh I love these questions. Let . Thus . Now rewrite to an integral integral with this substitution. Now for the bounds. For the first bound let and for the second let . So the bounds are from 0 to 2. Got it? Shouldn't that second bound be ? -Dan
I don't believe so. Why would it be inifinity? On these problems i=0, then i=n. Is there another way you do it?
For the integral, the limits of x are indeed 0 to 2.
Yea that explanation makes sense Jameson, but I'm still not sure how this would be solved once reaching that point. How'd you determine the bounds were 0 and 2?
Originally Posted by thedoge How would I evaluate this integral using the 2nd Fundamental Theorem of Calculus? Thanks in advance. The standard form the the Riemann Ingegral is, In this case, Thus, But there is not "a" term, thus, . And the function is, Thus we need to find, Which we can easily evaluate by Fundamental theorem because this function is continous on the closed interval.
Originally Posted by topsquark Shouldn't that second bound be ? -Dan Momentary brain fart! -Dan
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