Hello,

I am absolutely stumped on this one.

http://www.mario-kart.net/gamespy/im...Untitled-3.gif

I'm assuming all of my work is correct up until the end, but I don't know how to proceed using Trigonometric Substitution. Please help!

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- Jan 21st 2010, 08:24 PMTroopaTrigonometric Substitution Question
Hello,

I am absolutely stumped on this one.

http://www.mario-kart.net/gamespy/im...Untitled-3.gif

I'm assuming all of my work is correct up until the end, but I don't know how to proceed using Trigonometric Substitution. Please help! - Jan 21st 2010, 08:37 PMJhevon
- Jan 21st 2010, 08:52 PMTroopa
So then...

$\displaystyle = \frac 12 (1 + \cos 2 \theta)$

$\displaystyle = \frac 12 (\theta + (cos2 \theta^2 / 2))$

Is this right? - Jan 21st 2010, 08:54 PMJhevon
- Jan 21st 2010, 09:03 PMVonNemo19
$\displaystyle \int\frac{1}{\sec^2\theta}d\theta=\int\cos^2\theta {d}\theta=\frac{1}{2}\int(1+\cos2\theta)d\theta=\f rac{1}{2}(\theta+\frac{1}{2}\sin{2\theta})+C$

Now back substitute. - Jan 21st 2010, 09:06 PMTroopa
Thanks for your help. I'm gonna finish this and get some help in my math lab.