Need help: AP Calculus Problem from collegeboard

<p>Multiple choice problem #21 in calc BC course description pdf on collegeboard.com. I keep putting it into my TI-89 and when it spits out the antiderivative, it has an indefinite integral in it! When I put in that indef integral, it spits out the same one! Not sure how to use a calculator for this one (and u-sub seems hard for this problem).</p>

<p>Instead of trying to integrate f(x), express g(1) as the sum of g(3) and the integral of f(x) from 1 to 3. i.e. :</p>

<p>g(1) = g(3) - fnInt(f(x), x, 1,3)</p>

<p>tada</p>

<p>Indeed.</p>

<p>This is a fairly standard application of the Fundamental Theorem of Calculus, which states that if g(x) is an antiderivative of f(x):</p>

<p>integral (from a to b) of f(x) dx = g(b) - g(a).</p>

<p>An0maly just rewrote it in the form that’s most helpful to solve this particular problem.</p>

<p>i don’t believe ti-89 is even allowed, so yeah…</p>

<p>you can only use up to an 84</p>

<p>no, i’m pretty sure you can use any calc you want on the AP exam… <em>goes off to check</em></p>

<p>from collegeboard:::::</p>

<p>2008-09 List of Graphing Calculators
Graphing calculators having the expected built-in capabilities listed above are indicated with an asterisk (*). However, students may bring any calculator on the list to the exam; any model within each series is acceptable.</p>

<p>Casio</p>

<p>FX-6000 series
FX-6200 series
FX-6300 series
FX-6500 series
FX-7000 series
FX-7300 series
FX-7400 series
FX-7500 series
FX-7700 series
FX-7800 series
FX-8000 series
FX-8500 series
FX-8700 series
FX-8800 series
FX-9700 series *
FX-9750 series *
FX-9860 series *
CFX-9800 series *
CFX-9850 series *
CFX-9950 series *
CFX-9970 series *
FX 1.0 series *
Algebra FX 2.0 series *</p>

<p>Hewlett-Packard</p>

<p>HP-9G
HP-28 series *
HP-38G *
HP-39 series *
HP-40 series*
HP-48 series *
HP-49 series *
HP-50 series*</p>

<p>Radio Shack</p>

<p>EC-4033
EC-4034
EC-4037</p>

<p>Sharp</p>

<p>EL-5200
EL-9200 series *
EL-9300 series *
EL-9600 series *†
EL-9900 series *</p>

<p>Texas Instruments </p>

<p>TI-73
TI-80
TI-81
TI-82 *
TI-83/TI-83 Plus *
TI-83 Plus Silver *
TI-84 Plus *
TI-84 Plus Silver *
TI-85 *
TI-86 *
TI-89 *
TI-89 Titanium *
TI-Nspire *
TI-Nspire CAS *</p>

<p>It’s not any calculator you want, but the TI-89 is on the approved list. I’m looking for a link that’s public access.</p>

<p>EDIT: The list posted above is pretty similar to the list I’m seeing that’s not public access, but my list doesn’t include the TI-Nspire or the TI-Nspire CAS, the FX-9860 series, or the HP-50 series. It does include a couple of other calculators not on the list (mostly by brands I’ve never heard of). My list may be out of date, but is also on the AP Central website in the teachers section.</p>

<p>Ironically, a “stronger” calculator like the TI-89 actually hurt the student here, whereas a student with a “weaker” 83 or 84 but stronger math fundamentals would have solved this much faster. </p>

<p>Just goes to show you that a calculator isn’t always the best option.</p>

<p>^that’s true. but some problems really do necessitate them</p>

<p>and
my bad.</p>

<p>lol my teacher recommended we bring 2 calcs (we can apparently) a ti-83 or 84 and a ti-89</p>

<p>Ahh alright, thats a fairly simple solution. I was thinking of doing something else, but that was pretty easy. Yeah I am self studying, so I haven’t really encountered many problems in a class, but I have been reviewing with princeton review. I think I’ll check out another review book as well (heard peterson’s is good).</p>