then use FToC pt. II to evaluate from a<x<b where a = 0 and b = \(\frac{ \pi}{4}\)
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OpenStudy (anonymous):
I need the answer to check with what I got!!
OpenStudy (abb0t):
I did this in my head, but I got 1+√2 -1, so √2?
OpenStudy (anonymous):
2-3*2^1/2+c
OpenStudy (anonymous):
I got this
OpenStudy (abb0t):
\(\sqrt{2}\)
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OpenStudy (anonymous):
Ans given is \[3\sqrt{2}-1\]
OpenStudy (abb0t):
yeah. I 4got to distribute the 2 and the 3.
OpenStudy (anonymous):
So can u post ur work??
OpenStudy (abb0t):
\(2[1-0] + 3[\sqrt{2} -1]\)
OpenStudy (anonymous):
Ok.....So u shud take the constant out,operate on the definite values then multiply with the constants???
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OpenStudy (anonymous):
Tnx for the help abb0t,,,Appreciate it!!
OpenStudy (abb0t):
THERE IS NO CONSTANT FOR DEFINITE INTEGRALS!
OpenStudy (anonymous):
So wat are 2 and 3??
OpenStudy (abb0t):
I'm talking about the "C"
OpenStudy (anonymous):
That I know.I meant 2 and 3!!
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OpenStudy (abb0t):
yes, it's basic algebra, distribute, and do the arithmetics. Your answer is \(3\sqrt{2}-1\)
OpenStudy (anonymous):
Ya can u help me with one more??@abb0t
OpenStudy (anonymous):
OpenStudy (anonymous):
@abb0t
OpenStudy (anonymous):
Just tell me how to proceed.Rest I'll do!1
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OpenStudy (anonymous):
Limiting function!
OpenStudy (abb0t):
First of all, you can start by eliminating one of the terms. Factor the denominator on the first limit function. You should know how to factor from basic algebra.
\[\lim_{x \rightarrow 1} \frac{ (\sqrt{x}-1)-x (2x-3) }{ (x+1)(2x-3) }...\]
OpenStudy (anonymous):
yes
OpenStudy (abb0t):
Same with the \(2^{nd}\) one. You can eliminate one of the denominators and numerator.