Integral Calculus Flashcards
1
Q
True or false, indefinite integral has limits
A
False
2
Q
∫ a du =
A
a ∫ du = au + c
3
Q
∫ a^u du =
A
a^ u / In a + c , a > 1, a=1
4
Q
∫ u^n du
A
= 1/ n +1 u^n+1
5
Q
∫e^u du
A
= e^u + C
6
Q
∫ u^-1 du
A
= du/u = ln abs u + c
7
Q
∫ln u du
A
=u ln abs u - u +c
8
Q
∫ sin u
A
= -cos u+ c
9
Q
∫ cos u du
A
= sin u + c
10
Q
∫ tan u du
A
= ln abs sec u + c
11
Q
∫ cot u du
A
= ln abs sin u + c
12
Q
∫ sec u du
A
= ln abs sec u + tan u + c
13
Q
∫csc u du
A
= ln |csc u - cot u| + c
= - ln |csc u - cot u| + c
14
Q
∫ sec u tan u du
A
= sec u + c
15
Q
∫csc u cot u du
A
= - csc u + c
16
Q
∫sec^2 u du
A
= tan u+ C
17
Q
∫csc^2 u du
A
= -cot u + c
18
Q
Indefinite Integral caltech
A
- Input given, let x be any uncommon number
- Differentiate all choices usng d/dx function in calcu, let x be same in step 1
- Which ever is the same in step 1 is the answer
19
Q
Integral by parts caltech
A
Differentiate u and v till zero, see notes for full step
