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Bab IV INTEGRAL

Bab IV INTEGRAL. Drs. Rachmat Suryadi , M.Pd. 4.0 Pendahuluan. Sifat 4.0.2: Misalkan f dan g mempunyai anti turunan dan k suatu konstanta, maka. 4.0 Pendahuluan. Teorema 4.0.3

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Bab IV INTEGRAL

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  1. Bab IVINTEGRAL Drs. RachmatSuryadi, M.Pd

  2. 4.0 Pendahuluan Sifat 4.0.2: • Misalkan f dan g mempunyai anti turunan dan k suatu konstanta, maka Prepared by : Rachmat Suryadi

  3. 4.0 Pendahuluan Teorema 4.0.3 • Jika F dan G keduanya integral tak tentu dari f pada interval I, maka F(x) dan G(x) berselisih suatu konstanta pada I • Jadi F(x) – G(x) = C dengan C sembarang konstanta. Akibat 4.0.4 • Jika F suatu fungsi integral tak tentu dari f , maka ∫ f(x) dx = F(x) + C. dengan C konstanta sembarang. Prepared by : Rachmat Suryadi

  4. 4.1 RumusDasar Prepared by : Rachmat Suryadi

  5. 4.2 Integral denganSubsitusi Teorema 4.2.1 • Jika u = g(x) yang didefinisikan pada interval I mempunyai invers x = g –1(u) dan fungsi-fungsi g dan g –1keduanya mempunyai derivatif yang kontinu pada intervalnya masing-masing, dan f kontinu pada interval di mana g –1didefinisikan, • maka ∫ f{g(x )}g '(x) dx =∫ f(u) du Prepared by : Rachmat Suryadi

  6. 4.2 Integral denganSubsitusi Prepared by : Rachmat Suryadi

  7. 4.2 Integral denganSubsitusi Prepared by : Rachmat Suryadi

  8. 4.2 Integral denganSubsitusi Prepared by : Rachmat Suryadi

  9. 4.3 Integral Parsial Prepared by : Rachmat Suryadi

  10. 4.3 Integral Parsial Prepared by : Rachmat Suryadi

  11. 4.3 Integral Parsial Prepared by : Rachmat Suryadi

  12. 4.3 Integral Parsial Prepared by : Rachmat Suryadi

  13. 4.4 Integral Hasil = ArcTandan Log Prepared by : Rachmat Suryadi

  14. 4.4 Integral Hasil = ArcTandan Log Prepared by : Rachmat Suryadi

  15. 4.4 Integral Hasil = ArcTandan Log Prepared by : Rachmat Suryadi

  16. 4.4 Integral Hasil = ArcTandan Log Prepared by : Rachmat Suryadi

  17. 4.4 Integral Hasil = ArcTandan Log Prepared by : Rachmat Suryadi

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