Жауаптар
Қорытынды (17-слайд)
Алғашқы функция анықтамасы
Алғашқы функцияның негізгі қасиеті
Алғашқы функция есептеу ережелері
Қарапайым функциялардың алғашқы функциясын есептеу.
Үй жұмысы
Туынды есептеу формулаларын қайталау
10-бет №5.6.7 есептер
Анықталмаған интеграл мазмұнын оқып келу
Өткен тақырып бойынша сұрақтар
1.Алғашқы функция анықтамасы
2.Алғашқы функцияның негізгі қасиеті
3.Алғашқы функция есептеу ережелері
Үй жұмысы жиып алынады.
4. Анықталмаған интеграл (18-,19-слайд)
Анықтама : ![](data:image/png;base64,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) функциясының барлық алғашқы функцияларының жиынтығы ![](data:image/png;base64,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) берілген функцияның анықталмаған интнгралы деп аталады. ![](data:image/png;base64,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)
5. Интегралдау ережелері (18-слайд)
1.![](data:image/png;base64,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2. ![](data:image/png;base64,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) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAMCAYAAABr5z2BAAAACXBIWXMAAA5eAAAONAE9atqDAAAA+klEQVR4nGP5DwQMFAAWSjTDDTi0rp9h+vafDNOnVjAIsJFhgJY6P4PqT3kGbhI1ww24evgpg4meHcPbc9sYSrs3M6SUtTDYGwoTa8BfhmPfXjDYizIyXHvziyG0upTBVgeh+ffXZwznLt1l+PUHTSe/BAMDjwjQgD9vGB5sP89w7UQtg3NiKUOCpRKKuv//fjF8+fKZ4edvNANYBYD4LwPLt8eXGL7rZzPUBfxmmHHuFsMXR1UGFhYuBg4WJrA6Nl4FBmdXBdxeeHrqJIONTyiDoj4XA/uUZoYVctwMAW4ecAMIhoFqeA2DKpTTtmIWUZpQDCBZB7UNAAAXiEojvanj8AAAAABJRU5ErkJggg==) тұрақты шама
3. ![](data:image/png;base64,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)
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