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Integral from 0 to 1 of log(1-x+x^2)/(x-x^2) = -𝝅^2 / 9 Integral from 0 to 𝝅/2 log(1+4sin^4 x) = 𝝅 log((½)(φ + √φ)), where φ is the golden ratio...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3690839/b86dfac225c02d599c892feb6dd6c44b/564x318_1"},"target":"_self","position":"15","reqid":"1765041571270069-11088119260174650663-balancer-l7leveler-kubr-yp-vla-60-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DmhOvhoKL9hs","linkTemplate":"/video/preview/9604362654024957484?parent-reqid=1765041571270069-11088119260174650663-balancer-l7leveler-kubr-yp-vla-60-BAL&text=%E2%88%AB%E2%84%AF%E2%88%AB%E2%84%AF+%E2%84%A2%EF%B8%8F&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"from 0 to 1 of log(1—x + x²)/(x—x²) & from 0 to 𝝅/2 log(1 + 4sin⁴ x)","related_orig_text":"∫ℯ∫ℯ ™️","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"∫ℯ∫ℯ ™️\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=mhOvhoKL9hs\",\"src\":\"serp\",\"rvb\":\"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-wUA8AMK-_wBAAELAPv69wAAAPP7_fwHAQAA9fcD__gAAAAHCAX9AgAAAAL-_fb0_QEA-vgD-AIAAAD7-gMD_gAAAA4A_Ab-AQAA8fz8AwMAAAAEAv0EAAAAAPkOBPIAAAAAAwD6_wAAAAD4-v75AAAAACAALRIG4Ds4E0AJSE5QAipzEAAaYBYRABz6HucDIQzyA_gNFfD-C_nOAvYABewAGgoA4woD9OEW-_8W_v8E1AAAABMXAA39APs1GhfMLQP38gbA5wUQf_8K6gT9CO_m8x_yFRHyAuv4CADjCPXzDADzDRDyQSAALSvpiDs4E0AJSG9QAiqvBhAMGqAGAACYQQAAQMEAALhCAADewgAAIEEAAODAAACaQgAAmEEAACDBAABAQAAAYEEAAMBAAABEwgAA4EEAAIhBAAAgQQAAHEIAAHjCAACWQgAAEMIAAFjCAAAAwgAAmMIAAIBBAAA0wgAAAMEAAABBAAAQQQAAIEEAAIC_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-EEAABxCAAC4wgAAsMEAAIDBAABgwQAA-EEAAHDBAACCwgAAkMIAAMDAAAAgQQAAqEEAAIDBAABAQQAAYMEAADBBAAB8QgAAAEEAAOhBAAAMQgAAoMAgADgTQAlIdVABKo8CEAAagAIAABA9AAAcvgAAXD4AALg9AACgPAAAoj4AAFA9AAApvwAAEL0AAMg9AADIPQAATL4AACy-AABEPgAAnr4AAEA8AAAkPgAAcD0AAMi9AAC6PgAAfz8AADA9AAB8vgAAiD0AAPi9AABUPgAAqD0AABy-AAB8PgAAiD0AAMg9AABQPQAADL4AAEQ-AACoPQAAuL0AAIo-AAA8vgAAZL4AAGS-AAAkPgAAfL4AAHw-AADgPAAAuD0AAAw-AADgvAAA4DwAAHA9AAAMvgAAlj4AAKg9AADCPgAATD4AAPi9AAAQvQAAQT8AACS-AAAwPQAAoDwAADC9AAAcPgAA2D0AAAy-IAA4E0AJSHxQASqPAhABGoACAAAwvQAAoLwAAAy-AADuvgAA6L0AABw-AACuPgAAjj4AAIi9AABsPgAAgDsAAJg9AABAvAAAUL0AAIA7AACgvAAAbL4AACU_AACivgAAmj4AAHC9AABMvgAABL4AABC9AAAQPQAAcL0AAMi9AABAvAAABD4AAPi9AABQvQAAUL0AACy-AAD4vQAALD4AAKi9AACaPgAAUD0AAFS-AABQvQAAmD0AAIi9AACYPQAAiL0AADQ-AABkvgAAf78AANg9AACgPAAABL4AAKC8AAB8PgAATD4AAIA7AACIPQAAMD0AALi9AAAEvgAAmD0AAHQ-AAD4PQAAMD0AABA9AABQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=mhOvhoKL9hs","parent-reqid":"1765041571270069-11088119260174650663-balancer-l7leveler-kubr-yp-vla-60-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9604362654024957484"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3358248866722448223":{"videoId":"3358248866722448223","docid":"34-4-15-Z18936E29D790935C","description":"1 [4ƒ(x) - 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