Integration and Definite Integrals (5.1-5.2) Flashcards
1
Q
The antiderivative of a function blank is a function blank
A
f(x) and F(x)
F prime = f(x)
2
Q
Integration Theorem
A
if f(x) and g(x) are antiderivatives of the same function then f(x) and g(x) differ by constant c
3
Q
Indefinite integrals always need
A
+c
4
Q
Integral of c f dx
A
c integral f dx
5
Q
Integral of f + g dx
A
Integral f dx + Integral g dx
6
Q
Integral of 0
A
c
7
Q
Integral 1 dx
A
x + c
8
Q
Integral x^n dx
A
(1/n+1) x^n+1 +c
9
Q
Integral cosx
A
sinx +c
10
Q
Integral sinx
A
-cosx +c
11
Q
Integral secx squared
A
tanx +c
12
Q
Integral cscx cotx
A
-cscx +c
13
Q
Integral secx tanx
A
secx +c
14
Q
Integral cscx squared
A
-cotx + c
15
Q
Integral of e^x
A
e^x +c
