http://ocw.mit.edu/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques 2013-01-12T07:16:02+05:00 MIT OpenCourseWare http://ocw.mit.edu en-US Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> A review and extension of previous results for finding f(x) knowing f'(x); paricular emphasis on the case where f'(x) involves the sum and/or difference of two squares; completing the square.</p> <p><strong>Instructor/speaker:</strong> Prof. Herbert Gross</p>Transcript: <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-1-some-basic-recipes/MITRES18_006F10_26_0601_300k-mp4.pdf>PDF (English - US)</a><br>Subtitles: <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-1-some-basic-recipes/MITRES18_006F10_26_0601_300k-mp4.srt>SRT (English - US)</a><br>Thumbnail - <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-1-some-basic-recipes/6_1.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES18_006F10/MITRES18_006F10_26_0601_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/podcast/unit-vi-lecture-1-some-basic/id408737555?i=93805818>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/4Ywsdc6pCOk>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-1-some-basic-recipes Gross, Herbert 2010-12-08T09:47:41+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> The concept of partial fractions; finding f(x) when f'(x) is the quotient of two polynomials; some notes about identities; application of partial fractions to the case where f is of the form f(sinx, cos x).</p> <p><strong>Instructor/speaker:</strong> Prof. Herbert Gross</p>Transcript: <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-2-partial-fractions/MITRES18_006F10_26_0602_300k-mp4.pdf>PDF (English - US)</a><br>Subtitles: <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-2-partial-fractions/MITRES18_006F10_26_0602_300k-mp4.srt>SRT (English - US)</a><br>Thumbnail - <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-2-partial-fractions/6_2.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES18_006F10/MITRES18_006F10_26_0602_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/podcast/unit-vi-lecture-2-partial/id408737555?i=93805825>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/aWYwHnH-ptI>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-2-partial-fractions Gross, Herbert 2010-12-08T09:47:41+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> Using the identity d(uv) = udv + vdu to find the integral of udv knowing the integral of vdu; using the technique to evaluate certain integrals; reduction formulas; some applications.</p> <p><strong>Instructor/speaker:</strong> Prof. Herbert Gross</p>Transcript: <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-3-integration-by-parts/MITRES18_006F10_26_0603_300k-mp4.pdf>PDF (English - US)</a><br>Subtitles: <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-3-integration-by-parts/MITRES18_006F10_26_0603_300k-mp4.srt>SRT (English - US)</a><br>Thumbnail - <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-3-integration-by-parts/6_3.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES18_006F10/MITRES18_006F10_26_0603_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/podcast/unit-vi-lecture-3-integration/id408737555?i=93805823>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/tGTCt3Dewtw>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-3-integration-by-parts Gross, Herbert 2010-12-08T09:47:41+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm <p><strong>Topics covered:</strong> The problem of trying to study the integral of f(x)dx when f(x) is not continuous on the interval [a,b]; what happens if the limits of integration are not finite; importance of improper integrals.</p> <p><strong>Instructor/speaker:</strong> Prof. Herbert Gross</p>Transcript: <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-4-improper-integrals/MITRES18_006F10_26_0604_300k-mp4.pdf>PDF (English - US)</a><br>Subtitles: <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-4-improper-integrals/MITRES18_006F10_26_0604_300k-mp4.srt>SRT (English - US)</a><br>Thumbnail - <a href= /resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-4-improper-integrals/6_4.jpg>JPG (OCW)</a><br>Video - download: <a href= http://www.archive.org/download/MITRES18_006F10/MITRES18_006F10_26_0604_300k.mp4>Internet Archive (MP4)</a><br>Video - download: <a href= http://itunes.apple.com/us/podcast/unit-vi-lecture-4-improper/id408737555?i=93805827>iTunes U (MP4)</a><br>Video - stream: <a href= http://www.youtube.com/v/1z39nKVbh_w>YouTube </a><br><br><a href= 'http://ocw.mit.edu/terms/'>(CC BY-NC-SA)</a><br><br> http://ocw.mit.edu/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/part-vi-more-integration-techniques/lecture-4-improper-integrals Gross, Herbert 2010-12-08T09:47:41+05:00 en-US MIT OpenCourseWare http://ocw.mit.edu Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm