anti derivative rules Flashcards
1
Q
f(x)=x^n
A
(1/n+1)(x^n+1)
2
Q
f(x)=k (constant)
A
kx
3
Q
f(x)=(1/x)=x^-1
A
ln(x)
4
Q
f(x)=e^x
A
e^x
5
Q
f(x)=a^x
A
(a^x)/ln(a)
6
Q
f(x)=sin(x)
A
-cos(x)
7
Q
f(x)=cos(x)
A
sin(x)
7
Q
f(x)=tan(x)
A
-ln(cosx)+c
8
Q
f(x)=sec^2(x)
A
tan(x)
9
Q
f(x)=csc^2(x)
A
-cot(x)
10
Q
f(x)=sec(x)tan(x)
A
sec(x)
11
Q
f(x)=csc(x)cot(x)
A
-csc(x)
12
Q
f(x)=1/sqrt.(1-x^2)
A
sin^-1(x)
13
Q
f(x)=1/(1+x^2)
A
tan^-1(x)
13
Q
f(x)=-1/sqrt/(1-x^2)
A
cos^-1(x)
