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Breaking NEWS | HaberTürk - Show TV - Bloomberg HT Seized on "Criminal Organization" Charges! 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İlk olarak tanjant ve kotanjant ifadelerinin karesi alınarak integral alınır, ardından türev ile integral arasındaki ilişki açıklanır. Daha sonra sinüs ve kosinüs içeren bir integral sorusu ele alınır ve yarım açı formülleri kullanılarak çözüm gösterilir. Video, farklı çözüm yöntemlerinin sonuçlarını karşılaştırarak sonlanır."]},"endTime":615,"title":"Belirsiz İntegral Çözüm Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Belirsiz İntegral Çözümü","list":{"type":"unordered","items":["Tanjant ve kotanjantlı ifadelerin içeren belirsiz integral sorusu çözülecek.","Tanjant x'in karesi, tanjant x ile kotanjant x'in çarpımının iki katı ve kotanjant kare x'in toplamı şeklinde ifade edilir.","Tanjant x ile kotanjant x'in çarpımı 1'e eşittir çünkü tanjant x sinüs x bölü kosinüs x, kotanjant x ise kosinüs x bölü sinüs x'tir."]},"beginTime":6,"endTime":57,"href":"/video/preview/7747141769065260254?parent-reqid=1765327278217331-7785167477780282528-balancer-l7leveler-kubr-yp-vla-261-BAL&text=BEL%C4%B0RS%C4%B0Z+TV&t=6&ask_summarization=1"},{"index":1,"title":"İntegral Alma Yöntemi","list":{"type":"unordered","items":["İntegral alma işlemi yapılırken, 2 sayısı 1+1 olarak ayrılır ve her bir parçanın integrali ayrı ayrı hesaplanır.","Tanjant x'in türevi 1+tanjant kare x, kotanjant x'in türevi ise -1+kotanjant kare x'tir.","Türev ile integral arasındaki ilişki, bir fonksiyonun integralinin türevinin orijinal fonksiyonu vermesi durumudur."]},"beginTime":57,"endTime":196,"href":"/video/preview/7747141769065260254?parent-reqid=1765327278217331-7785167477780282528-balancer-l7leveler-kubr-yp-vla-261-BAL&text=BEL%C4%B0RS%C4%B0Z+TV&t=57&ask_summarization=1"},{"index":2,"title":"İntegral Çözümü","list":{"type":"unordered","items":["1+tanjant kare x'in integrali tanjant x'tir çünkü tanjant x'in türevi 1+tanjant kare x'tir.","-1+kotanjant kare x'in integrali -kotanjant x'tir çünkü kotanjant x'in türevi -1+kotanjant kare x'tir.","Belirsiz integral olduğu için her iki integralin de sonuna +C sembolü yerleştirilmelidir."]},"beginTime":196,"endTime":305,"href":"/video/preview/7747141769065260254?parent-reqid=1765327278217331-7785167477780282528-balancer-l7leveler-kubr-yp-vla-261-BAL&text=BEL%C4%B0RS%C4%B0Z+TV&t=196&ask_summarization=1"},{"index":3,"title":"İkinci Örnek İntegral","list":{"type":"unordered","items":["Sinüs kare x artı kosinüs kare x 1'e eşittir ve 2 sinüs x çarpı kosinüs x ifadesi sinüs 2x'e eşittir.","Sinüs ax'in integrali -1/a kosinüs ax'tir.","İntegral -1/2 kosinüs 2x + C olarak bulunur."]},"beginTime":305,"endTime":428,"href":"/video/preview/7747141769065260254?parent-reqid=1765327278217331-7785167477780282528-balancer-l7leveler-kubr-yp-vla-261-BAL&text=BEL%C4%B0RS%C4%B0Z+TV&t=305&ask_summarization=1"},{"index":4,"title":"Alternatif Çözüm Yöntemi","list":{"type":"unordered","items":["İntegral 2 sinüs x çarpı kosinüs x şeklinde kalsaydı, kosinüs x'e u diyerek integral çözülebilirdi.","Bu durumda integral -1/2 u² + C olarak bulunur ve u = kosinüs x olduğundan -cos²x + C olarak ifade edilir.","İki çözüm yöntemi birbirine denktir çünkü sabit sayı C'nin içine sokulduğunda sonuçlar aynı olur."]},"beginTime":428,"endTime":608,"href":"/video/preview/7747141769065260254?parent-reqid=1765327278217331-7785167477780282528-balancer-l7leveler-kubr-yp-vla-261-BAL&text=BEL%C4%B0RS%C4%B0Z+TV&t=428&ask_summarization=1"}],"linkTemplate":"/video/preview/7747141769065260254?parent-reqid=1765327278217331-7785167477780282528-balancer-l7leveler-kubr-yp-vla-261-BAL&text=BEL%C4%B0RS%C4%B0Z+TV&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Belirsiz integral","related_orig_text":"BELİRSİZ TV","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"BELİRSİZ 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