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Wednesday, November 26, 2014
Tuesday, October 14, 2014
មេរៀន រូបមន្ត អាំងតេក្រាល
មេរៀន រូបមន្ត អាំងតេក្រាល
រូបមន្ត និងទំរង់អាំងតេក្រាលមួយចំនួន ទំរង់ស្តង់ដា share សិរីមង្គល
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(អាំងតេក្រាលដោយផ្នែក)
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ទំរង់ជាប់ au+b
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ទំរង់ជាប់ au+b
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ទំរង់ជាប់

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អាំងតេក្រាលជាប់អនុគមន៍ត្រីកោណមាត្រ
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119.![\int \displaystyle \frac{du}{p+qcosau}= \begin{Bmatrix} \displaystyle \frac{2}{a \sqrt{p^{2}-q^{2}}}arctg[ \sqrt{(p-q)/(p+q)}tan \frac{1}{2}au]+c,|p|>|q| \\ \displaystyle \frac{1}{a \sqrt{q^{2}-p^{2}}}ln[ \frac{tan \frac{1}{2}au+ \sqrt{(q+p)/(q-p)}}{tan \frac{1}{2}au- \sqrt{(q+p)/q-p)}}]+c,|p|<|q| \end{Bmatrix} \int \displaystyle \frac{du}{p+qcosau}= \begin{Bmatrix} \displaystyle \frac{2}{a \sqrt{p^{2}-q^{2}}}arctg[ \sqrt{(p-q)/(p+q)}tan \frac{1}{2}au]+c,|p|>|q| \\ \displaystyle \frac{1}{a \sqrt{q^{2}-p^{2}}}ln[ \frac{tan \frac{1}{2}au+ \sqrt{(q+p)/(q-p)}}{tan \frac{1}{2}au- \sqrt{(q+p)/q-p)}}]+c,|p|<|q| \end{Bmatrix}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_vspZo-5EoqhWQ2v0GuOv7UDUX5LPtMK9Ce11uUyhCcVM_H1oU_XSPXbMuUtCG9-FHvB5KdJXK4fnhq9ZaljOzxhX8u-0o1yhW4qtvxBItpxa-zUefta8yScOSpK2RaOws5mrRRRerTT0624QlIGVr_xpDzHUOQ2QvRbcGMUfm2NIiD0rpDjghpot7udUKOEXKFp5zHyItZV0yGev8hKXnwGFMg16oL9018pkuupAKItkzMwj1DNr1Ijpx--wcCXXFHb9lLEmSM_OJQ1q3J49JAbt1AX_NclD81wG7IfyJ-xciUkd3HEEzhNNCFbV51TTp94ELXxnn3ySxf9KF_u-rL7cGSjCSfH86iPeFWb6Du7f1OrUSdm3Tk62qL7AuYwbbMuUDsAROUjyhlIPK_a18DPEImQodW3eyiVUZbi97y93Drzazg-_7B33dhCWO23KsaKc9i_YkV1WcMEvhZ4pTCblxPS1h1Uln4N7uCtewKnidDn6f6iXwLYKIt6q7noDhHXhR7RUnxzv-GJV3bjzBwB2KMQviZmYAZxYRKw2ZynWbQR0Ehnt9fNSnJ7RpT6fnIz6m0_4iPJDGWGimY26JPLS57Wb8NbsuaUrXCoyTpLo_TYktjHzM4gQu75p0wY3vQ4ook6-hkAvBAulqBQ6lCdZZgYxEUkQOnVcUkjFpWPQTKqNQ7GGJDiiCvosu4SfjPQH3k3jc0FdIH5u4MdRKrgji0V80_lAchoz4AGSUrYU2xydjrYJDqtoC5wR-zfu_yoqZsTx-HZ12pRd6zPz6P-3MB4rM=s0-d)
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133.![\int \displaystyle \frac{cosaudu}{sinau \pm cosau}= \pm [ \frac{u}{2}+ \frac{1}{2a}ln|sinau \pm cosau|]+c \int \displaystyle \frac{cosaudu}{sinau \pm cosau}= \pm [ \frac{u}{2}+ \frac{1}{2a}ln|sinau \pm cosau|]+c](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_sKoCfh6uKq5yOwiylio6vGm9xc0X62wYCmrn_UN-2Kx_-nNqfyydXsK1C-s3pXTJEQ6EKx12qSqmjU3L49PHJebaNksntVklR173fgx_VvbWnORKwv1_H1W_7Cdmx-Oqlh7kk8tN7L3kNBpDsOFD_syNw-8Gm8pjBqNo23WEKs6XibFazvoswMfCOCqGsGrQ6rvt1x3MdeTK_oPf80lMykpgYq6WW8dwJ1EltjSfeYwXP4zKGsXFSGIXh8z6HyGezb4efy6iHnXLoOazXP8VceL8a0XzDsVQBuHmxAWSuIlrL-o0c-3m9F1Ax0vSD8lQo4RZ_kG50Pz4fkiIM=s0-d)
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អាំងតេក្រាលជាប់អនុគមន៍ច្រាសត្រីកោណមាត្រ
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បើn ជាចំនួនគត់វិជ្ជមាន
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170.![\int ue^{au}sinbudu= \displaystyle \frac{ue^{au}(asinbu-bcosbu)}{a^{2}+b^{2}}- \frac{e^{au}[(a^{2}-b^{2})sinbu-2abcosbu]}{(a^{2}-b^{2})^{2}}+c \int ue^{au}sinbudu= \displaystyle \frac{ue^{au}(asinbu-bcosbu)}{a^{2}+b^{2}}- \frac{e^{au}[(a^{2}-b^{2})sinbu-2abcosbu]}{(a^{2}-b^{2})^{2}}+c](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_v1imoAxN_Yd_L4f84wbkZd1m9Pkm5yn6m3sGLxNOic5pb--_a15uTZmqnyMzGPnmEFeS18MGgwnLN1HJ6-dx4dbL7_PqMout2rO67poSABUCkfmrhrxNKEeXou4l89tJ4fYUF8NaUinrXMqE6bNxADcGzGcZiT5rBhv4ETKAGW9GJZxOBmZO9JzDULT4FvarIFSN8Q4FxIDQqrSOvHXTffewT4mI6PyGW6Gza3OlQEdlgAhtkb69tkQ4qdckKR5gzxhNJVV1T_4DBiMBlcJm6Z0srwXotQic8mE3W0uGiFO40cbc-MZeW6sCzLKtiU8R1DGgaFqpQi1H3mzedfgdBL2-eCuX5iBK93C_-e6Ys4RcQKRDSaNHIkkKta5sMOS1G14i3asbPWz86eb9jI9FSwYxhnJ9Os0nxYtuKncxlF-TnDklhVZtBuJQ=s0-d)
171.![\int ue^{au}cosbudu= \displaystyle \frac{ue^{au}(acosbu+bsinbu)}{a^{2}+b^{2}}- \frac{e^{au}[(a^{2}-b^{2})cosbu+2absinbu]}{(a^{2}-b^{2})^{2}}+c \int ue^{au}cosbudu= \displaystyle \frac{ue^{au}(acosbu+bsinbu)}{a^{2}+b^{2}}- \frac{e^{au}[(a^{2}-b^{2})cosbu+2absinbu]}{(a^{2}-b^{2})^{2}}+c](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_t92KZIqAWZLXbZ92BIj3vbQdenmqAlYkxewQmKuC0YFcvw_fWsWR9rfu-MK0GDjXoARWSbvWtUD8fE0_VZ5PD74KLRE8GKni-H1L9UCqt3bfiKs1kh_qQlZGLe6vHPWDSs71q7aXbLmFb0uNXgfOU8O0dDOtDcpcISSDXAK_WDf2ck6_S7ezEvCK3V64AZzXIddilIvZqMJVBYOcd3ugfLqYuCMmvk-62JTU4p2rdMKANIMoeoVBBvc17Sf83HGCA4QckE4DxjgxiIHAN6krfhw_0MA-v3z81l8v-TjwiQbq0J-pNu2HfhpfJDwtl9VeAvRFK937qKovCvhoUG6vJZGScCHgSG9ZVcEth3v_4t4Rgq1OCwz_So22EQ6UolSzcScxodTcncuYW1-h6fffnFd61PG1iR4eb7EuG93TmovnR4jE5tuivL4GDVXrs=s0-d)
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អាំងតេក្រាលជាប់ lnu
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