1. ∫26x2 sen26 x3dx =

2652

∫ Sen 26x2• 52x2dx

2652 (– cos26 x2 )+c

2652 cos26 x2+c

2 .∫ x3

26sec2 26 x4 dx =

v=26 x2

dv=104 x3dx

x3

104 ∫ sec2 26 x4• 104 x2 dx

x3

104 tan 26 x4 +C

3.∫ x26 sec26 x2dx=¿

v=26 x2

dv=52x dx

x52

∫ sec 26 x2• 26 x2•52 xdx

x52

ln ¿+tan26 x2 ¿

x52

ln sec 26 x2+ tan 26 x2+ C

4.∫ 26 x26dxex 26 =

2627 ∫ e

−x27(−27)x26 dx

v=−x27

dv=−27 x26

−2627 ∫ ex26+C

−26e−27

27+C

5.∫ x2

26sec 26 x3dx=¿

2678∫ sec 26x

3 • tan 26x3 •78 x2d x

v=26 x3

dv=78x2dx

2678sec 26x3+C

6. ∫ 26 x3¿¿ ¿

12(78)

ln 78+x4

78−x4+C

v2=¿ a=¿

v=x4 a=a

dv=4 x3dx

−1(2 )52

ln52−x 4

52 x4+C

7. ∫ x4 dx26ex 5=

265 ∫e− x5 •5 x4dx

v=x5

dv=5x4dx

265e− x

4

+C

8. ∫ x2√(9 )−x3dx=¿¿

∫√(9)2−¿¿¿

v2=¿

v=x3

dv=3x2dx

a2¿

a=81

x3

2=√¿¿

x3

2 √81−x3+ 812 arc sen x381 +C

x3

2¿