Basic Integral Forms Flashcards
1
Q
∫uⁿ du=
A
(uⁿ⁺¹/n+1) +c, where n does not equal -1
2
Q
∫(du/u)=
A
ln|u|+c
3
Q
∫sin(u) du=
A
-cos(u) +c
4
Q
∫cos(u) du=
A
sin(u) +c
5
Q
∫sec²(u) du=
A
tan(u) +c
6
Q
∫csc²(u) du=
A
-cot(u) +c
7
Q
∫sec(u)*tan(u) du=
A
sec(u) +c
8
Q
∫csc(u)*cot(u) du=
A
-csc(u) +c
9
Q
∫tan(u) du=
A
-ln|cos(u)|+c
10
Q
∫cot(u) du=
A
ln|sin(u)|+c
11
Q
∫sec(u) du=
A
ln|sec(u)+tan(u)|+c
12
Q
∫csc(u) du=
A
ln|csc(u)-cot(u)|+c
13
Q
∫eᵘ du=
A
eᵘ +c
14
Q
∫aᵘ du=
A
[aᵘ/ln(a)] +c
15
Q
∫[du/√(a²-u²)]=
A
sin⁻¹(u/a) +c
