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#antiderivative

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Paul Arnheim-Projekt<p>I drew the said curve, y=x², starting with x= -32 , ending with x=0, with this ingenious toy: <a href="https://www.matheretter.de/rechner/gfplot" rel="nofollow noopener noreferrer" target="_blank">www.matheretter.de/rechner/gfplot</a> <a class="hashtag" href="https://bsky.app/search?q=%23Februarty2025" rel="nofollow noopener noreferrer" target="_blank">#Februarty2025</a>, day 8, <a class="hashtag" href="https://bsky.app/search?q=%23puzzle" rel="nofollow noopener noreferrer" target="_blank">#puzzle</a>: There is a <a class="hashtag" href="https://bsky.app/search?q=%23square" rel="nofollow noopener noreferrer" target="_blank">#square</a> 32*32=1024 and a <a class="hashtag" href="https://bsky.app/search?q=%23parabola" rel="nofollow noopener noreferrer" target="_blank">#parabola</a>. Find the area under the under the curve <a class="hashtag" href="https://bsky.app/search?q=%23calculus" rel="nofollow noopener noreferrer" target="_blank">#calculus</a> <a class="hashtag" href="https://bsky.app/search?q=%23antiderivative" rel="nofollow noopener noreferrer" target="_blank">#antiderivative</a><br><br>RE: <a href="https://bsky.app/profile/did:plc:omyr27fmzj3phbagch4sqyub/post/3lhoq76ar322q" rel="nofollow noopener noreferrer" target="_blank">https://bsky.app/profile/did:plc:omyr27fmzj3phbagch4sqyub/post/3lhoq76ar322q</a><br><br><a href="https://www.matheretter.de/rechner/gfplot" rel="nofollow noopener noreferrer" target="_blank">Plotter für Polynomfunktionen ...</a></p>
Paul Arnheim-Projekt<p>A beautiful curve y=x² interval [-32;0] Higher boundary minus lower boundary: 0--32=32 <a class="hashtag" href="https://bsky.app/search?q=%23puzzle" rel="nofollow noopener noreferrer" target="_blank">#puzzle</a> = <a class="hashtag" href="https://bsky.app/search?q=%23antiderivative" rel="nofollow noopener noreferrer" target="_blank">#antiderivative</a> = area under the curve =0³/3--1³/3= 1/3=341+1/3 square units of 1024=32² 1x² = 1/3 of half the boundaries of the cube x³ 6/2=3squares x² <a class="hashtag" href="https://bsky.app/search?q=%23sharingisthenewlearning" rel="nofollow noopener noreferrer" target="_blank">#sharingisthenewlearning</a> <a class="hashtag" href="https://bsky.app/search?q=%23parabola" rel="nofollow noopener noreferrer" target="_blank">#parabola</a> <a class="hashtag" href="https://bsky.app/search?q=%23calculus" rel="nofollow noopener noreferrer" target="_blank">#calculus</a></p>