Anti Derivatives Flashcards
1
Q
f’(x) = 1/(sqrt(x^2 - 1)
A
f(x) = arcsec(x) + c
f(x) = -arccsc(x) + c
2
Q
f’(x) = 1/(1+x^2)
A
f(x) = arctan(x) + c
f(x) = -arccot(x) + c
3
Q
f’(x) = 1/sqrt(1-x^2)
A
f(x) = arcsin(x) + c
f(x) = -arccos(x) + c
4
Q
f’(x) = b^x
A
f(x) = (b^x)/(ln(b)) + c
5
Q
f’(x) = e^x
A
f’(x) = e^x + c
6
Q
f’(x) = x^-1
A
f(x) = ln|x| + c
7
Q
f’(x) = x^n
A
f(x) = (x^(n+1))/(n+1) + c
8
Q
f’(x) = csc(x)cot(x)
A
f(x) = -csc(x) + c
9
Q
f’(x) = sec(x)tan(x)
A
f(x) = sec(x) + c
10
Q
f’(x) = csc^2(x)
A
f(x) = -cot(x) + c
11
Q
f’(x) = sec^2x
A
f(x) = tan(x) + c
12
Q
f’(x) = cos(x)
A
f(x) = sin(x) + c
13
Q
f’(x) = sin(x)
A
f(x) = -cos(x) + c
14
Q
f’(x) = 1
A
f(x) = x + c
15
Q
f’(x) = 0
A
f(x) = c
