Basic Integrals Flashcards
1
Q
Integral of “kdx”
A
kx+c
2
Q
Integral of “(X^n)dx”
A
((X^(n+1))/(n+1))+c
3
Q
Integral of “cosaxdx”
A
(1/a)sinax + c
4
Q
Integral of “sinaxdx”
A
-(1/a)cosax + c
5
Q
Integral of “sec^2axdx”
A
(1/a)tanax + c
6
Q
Integral of “csc^2axdx”
A
-(1/a)cotax + c
7
Q
Integral of “secax tanax dx”
A
(1/a)secax + c
8
Q
Integral of “cscax cotax dx
A
-(1/a)cscax + c
9
Q
Integral of e^(ax)dx
A
(1/a)e^(ax) + c
10
Q
Integral of “(1/x)dx”
A
ln|x| + c
11
Q
Integral of “dx/sqrt(a^2 - x^2)”
A
sin^-1(x/a) + c
12
Q
Integral of “dx/(a^2 + x^2)
A
tan^-1(x/a) + c
13
Q
Integral of “dx/(x * sqrt(x^2 - a^2))
A
(1/a)sec^-1|x/a| + c
14
Q
Integral of “f(g(x)) * g’(x)dx
A
u = g(x)
du = g’(x)
Integral of “f(u)du =
F(u) + c
