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Mathematics 13 Online
OpenStudy (anonymous):

Integration Help Required!!There's a second limiting function attachment as u go down!!Need help with that also!!

OpenStudy (anonymous):

Attachmnt

OpenStudy (anonymous):

@amistre64 ,@ash2326 @abb0t Help

OpenStudy (anonymous):

@ash2326

OpenStudy (anonymous):

@l

OpenStudy (anonymous):

@litchlani

OpenStudy (anonymous):

@Luigi0210

OpenStudy (anonymous):

@KingGeorge

OpenStudy (anonymous):

Correct me If I am wrong.......If not post the ans u get....

OpenStudy (abb0t):

\[2\int\limits_{a}^{b} \sec^2(x)dx + 3 \int\limits_{a}^{b}\tan(x)\sec(x)dx...\]

OpenStudy (abb0t):

then use FToC pt. II to evaluate from a<x<b where a = 0 and b = \(\frac{ \pi}{4}\)

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):

\(\sqrt{2}\)

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???

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!!

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

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.

OpenStudy (anonymous):

@Zarkon

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