∫ basic integration rules

0.0(0)
studied byStudied by 0 people
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
Card Sorting

1/19

encourage image

There's no tags or description

Looks like no tags are added yet.

Study Analytics
Name
Mastery
Learn
Test
Matching
Spaced

No study sessions yet.

20 Terms

1
New cards

∫ kf(u)du =

= K ∫ f(u)du

2
New cards

∫ [f(u) +-g(u)] du =

= ∫ f(u) du +- ∫ g(u) du

3
New cards

∫ du =

= u+c

4
New cards

∫ u^n du =

= (u^(n+1))/(n+1) +C , n≠ -1

5
New cards

∫ du/u =

= ln |u| + C

6
New cards

∫ e^u du =

= e^u + C

7
New cards

∫ a^u du =

= (1/ln a)a^u + C

8
New cards

∫ sin u du =

= -cos u + C

9
New cards

∫ cos u du =

= sin u + C

10
New cards

∫ tan u du =

= -ln |cos u| + C

11
New cards

∫ cot u du =

= ln |sin u| + C

12
New cards

∫ sec u du =

= ln |sec u + tan u| + C

13
New cards

∫ csc u du =

= -ln |csc u + cot u| + C

14
New cards

∫ sec^2 u du =

= tan u + C

15
New cards

∫ csc^2 u du =

= -cot u + C

16
New cards

∫ sec u tan u du =

= sec u + C

17
New cards

∫ csc u cot u du =

= -csc u + C

18
New cards

∫ (du)/(√(a^2-u^2)) =

= arcsin (u/a) + C

19
New cards

∫ (du)/(√(a^2+u^2)) =

(1/a) arctan (u/a) + C

20
New cards

∫ (du)/(u√(u^2-a^2)) =

= (1/a) arcsec (|u|/a) + C