Integration Chapter 11 Flashcards
1
Q
What does X^n integrate to
A
X^n+1 / n+1 +c
2
Q
What does cos x integrate to
A
Sinx + c
3
Q
What does cosecxcotx integrate to
A
-cosecx + c
4
Q
What does ex integrate to
A
ex + c
5
Q
What does sinx integrate to
A
-cosx + c
6
Q
What does cosec2x integrate to
A
-cotx + c
7
Q
What does 1/x integrate to
A
lnx + c
8
Q
What does sec^2x integrate to
A
tanx + c
9
Q
What does secxtanx integrate to
A
secx + c
10
Q
What does f (ax + b) integrate to
A
1/a f(ax + b) + c
11
Q
What does k f’(x)/f(x) integrate to
A
kln( f(x) )
12
Q
What is the integration by parts formula
A
/u dv/dx dx = uv - / v du/dx dx
13
Q
What is the trapezium rule equation
A
1/2h (y0 + yn + 2(y1 + y2 + y3 …))
14
Q
What is the equation for the width of the trapezium’s
A
b-a/n
b and a are the bounds
15
Q
How can dy/dx = f(x)g(y) be written as to solve
A
/ 1/g(y) = / f(x) dx
