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Content text Rangkuman Matematika 2A by Mas Reyog.pdf

PT Mas Reyog - 1 BAB 6 Fungsi Transenden 1. ∫ 1 u du = ln|u| + C 2. ∫ e u du = e u + C 3. ∫ a u du = a u ln a + C 4. Dx a u = a u ln a ∙ Dx u Identitas Trigonometri 1. sin2x + cos2x = 1 2. sin2x = 1−cos2x 2 3. cos2x = 1 + cos2x 2 4. tan2x = sec2x − 1 5. cot2x = cosec2x − 1 6. sin mx cos nx = 1 2 [sin(m + n) x + sin(m − n) x] 7. sin mx sin nx = 1 2 [cos(m + n) x − cos(m − n) x] 8. cos mx cos nx = 1 2 [cos(m + n) x + cos(m − n) x] BAB 7 TEKNIK INTEGRASI 7.1 Bentuk Dasar 1. ∫ sin u du = − cos u + c 2. ∫ cos u du = sin u + c 3. ∫ sec2u du = tan u + c 4. ∫ cosec2u du = − cot u + c 5. ∫ sec u tan u du = sec u + c 6. ∫ cosec u cot u du = −cosec u + c 7. ∫ tan u du = −ln | cos u| + c 8. ∫ cot u du = ln | sin u | + c 9. ∫ sec u du = ln | sec u + tan u | + c 10. ∫ cosec u du = ln | cosec u + cot u | + c 11. ∫ 1 √a2−u2 du = sin−1 u a + c 12. ∫ 1 a2 + u2 du = 1 a tan−1 u a + c 13. ∫ 1 u√u2− a2 du = 1 a sec−1 |u| a + c = 1 a cos−1 a |u| + c 7.2 Integral Parsial 1. ∫ u dv = uv − ∫ v du 2. Rumus Reduksi ∫ f n(x)g(x) dx = h(x) + ∫ f k(x)g(x) dx 7.3 Integral Trigonometri 1. ∫ sinnx dx dan ∫ cosnx dx 2. ∫ sinmx cosnx dx Pakai identitas trigonometri sin2x + cos2x = 1

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