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# Teoremas de integracion directa

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### Teoremas de integracion directa

1. 1. TEOREMAS DE INTEGRACIΓN DIRECTA
2. 2. πππ₯ = π ππ₯ = ππ₯ + π β’ EJEMPLO 5ππ₯ = 5 ππ₯ = 5π₯ + π
3. 3. β’ EJEMPLO
4. 4. β’ Ejemplo
5. 5. TEOREMA 8 β’ πππ π πππ = π­ππ§ π + π EJEMPLO πππππ π πππ = ππ πππ π πππ 19 tan x +π
6. 6. TEOREMA 9 β’ πππ π πππ = β ππ¨π­ π + π EJEMPLO β’ ππ πππ π x dx = 14 πππ π π ππ 14 cot x +π
7. 7. TEOREMA 10 β’ π¬ππ π β π­ππ§ π ππ = π¬ππ π + π EJEMPLO π¬ππ π β π­ππ§ π ππ = π¬ππ π + π
8. 8. TEOREMA 11 β’ ππ¬π π β ππ¨π­ π ππ = β ππ¬π π + π EJEMPLO ππ¬π π β ππ¨π­ π ππ = β ππ¬π π + π
9. 9. TEOREMA 12 β’ πππ π­ππ§ π ππ = π π+π π + π EJEMPLO πππ π­ππ§ π ππ = π π+π π + π
10. 10. TEOREMA 13 β’ πππ π¬π’π§ π ππ = π π+π π +π EJEMPLO πππ π¬π’π§ π ππ = π π+π π +π
11. 11. TEOREMA 14 β’ πππ ππ¨π¬ π ππ = β π π+π π +π EJEMPLO πππ ππ¨π¬ π ππ = β π π+π π +π
12. 12. TEOREMA 15 β’ ππ₯ π2 + π’2 = 1 π arc tan π’ π + π EJEMPLO ππ₯ 32 + 42 = 1 3 arc tan π’ 4 +π
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