Antiderivatives and Derivatives Flashcards
1
Q
Find the antiderivative of x^n
A
(x^(n+1))/(n+1) +c
2
Q
Find the antiderivative of sin(ax)
A
-cos(ax)/a +c
3
Q
Find the antiderivative of sec^2(ax)
A
tan(ax)/a +c
4
Q
Find the antiderivative of sec(ax)tan(ax)
A
sec(ax)/a +c
5
Q
Find the antiderivative of csc(ax)cot(ax)
A
-csc(ax)/a +c
6
Q
Find the antiderivative of e^ax
A
e^ax/a +c
7
Q
Find the antiderivative of 1/x
A
ln[x] +c
8
Q
Find the antiderivative of 1/sqrt(1+(ax)^2)
A
sin^-1(ax)/a + c
9
Q
Find the antiderivative of 1/1+(ax)^2
A
tan^-1(ax)/a +c
10
Q
Find the antiderivative of 1/x*sqrt((ax^2)-1)
A
sec^-1(ax)/a +c
11
Q
Find the antiderivative of a^(bx)
A
a^(bx)/b*ln(a) +c
12
Q
Find the derivative of a
A
0
13
Q
Find the derivative of x
A
1
14
Q
Find the derivative of x^n
A
n*x^(n-1)
15
Q
Find the derivative of lnx
A
1/x
