Exercicios integrais
2
1 RESOLVA AS SEGUINTES INTEGRAIS POR PARTES 1. β« β = 2. β« β = 3. β« 2 β = 4. β« β = 5. β« 2 β = 6. β« β = 7. β« 3 β = 8. β« 2 β = 9. β« ( + 1) β = 10. β«(3 + 6) β = 11. β« 2 β = 12. β« β β = 13. β« β = 14. β« 2 β = 15. β« 2 β = 16. β« 2 β =
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Integração por Substituição, Integração por Partes
Transcript of Exercicios integrais
1
RESOLVA AS SEGUINTES INTEGRAIS POR PARTES
1. β« π₯πππ π₯ β ππ₯ =
2. β« π₯πππ₯ β ππ₯ =
3. β« π₯π2π₯ β ππ₯ =
4. β« πππ₯ β ππ₯ =
5. β« π₯2ππ₯ β ππ₯ =
6. β« π₯π πππ₯ β ππ₯ =
7. β« π₯π3π₯ β ππ₯ =
8. β« π₯2πππ₯ β ππ₯ =
9. β«(π₯ + 1)πππ π₯ β ππ₯ =
10. β«(3π₯ + 6)ππ₯ β ππ₯ =
11. β« π ππ2π₯ β ππ₯ =
12. β« π πππ₯ β πππ π₯ β ππ₯ =
13. β« ππ₯πππ π₯ β ππ₯ =
14. β« πππ 2π₯ β ππ₯ =
15. β« π2π₯π πππ₯ β ππ₯ =
16. β« π₯π ππ2π₯ β ππ₯ =
2
RESOLVA AS SEGUINTES INTEGRAIS POR SUBSTIUIΓΓO
1. β« πβ0,4π₯ππ₯ =
2. β« π2π₯
3 ππ₯ =
3. β« π ππ(ππ₯)ππ₯ =
4. β« cos(ππ₯) ππ₯ =
5. β« 2π₯ππ₯2ππ₯ =
6. β« π₯2πππ π₯3ππ₯ =
7. β« 1
6π₯β2ππ₯ =
8. β« β4π₯ + 2 ππ₯ =
9. β«πππ π₯
π ππ2π₯ ππ₯ =
10. β«π₯ππ₯
4+2π₯2=
11. β« π₯π πππ₯2ππ₯ =
12. β« π₯2π ππ(2π₯3 β 2)ππ₯ =
13. β« 2π₯2ππ₯3ππ₯ =
14. β« π₯βπ₯2 + 2 ππ₯ =
15. β«π πππ₯
πππ 2π₯ ππ₯ =
16. β« π₯4(6π₯5 β 3) ππ₯ =
17. β«π₯4ππ₯
6π₯5β3=
18. β« π‘ππ₯ ππ₯ =
19. β«π₯ππ₯
β1β4π₯2=
20. β«πππ₯
π₯ ππ₯ =
21. β«ππ₯
(3β5π₯)2=
