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## anonymous 5 years ago hi, can someone help me find the integral (0 to pi/4) of sqrt(1+tan^2 (t)) dt please?

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1. anonymous

$\int\limits_{0}^{\pi/4} \sec^2t dt$

2. bahrom7893

tan(x) from 0 to pie/4

3. anonymous

= 1-0=1

4. anonymous

tan(pi/4)= 1 & tan(0) = 0

5. bahrom7893

lol two people helped u out... fan us both if we helped, thanks!

6. anonymous

I think these guys misread your question. tan(x)^2+1=sec(x)^2 so you have the integral from 0 to pi/4 of [sec(t) dt] The integral of sec(x) is ln(abs[sec(x)+tan(x)])+C where C is a constant and abs[] means absolute value. You can find proof of this integral through a quick google search. You should be able to handle the rest, but I got ln[1+sqrt(2)]

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