Integration Chapter 11 Flashcards
What does X^n integrate to
X^n+1 / n+1 +c
What does cos x integrate to
Sinx + c
What does cosecxcotx integrate to
-cosecx + c
What does ex integrate to
ex + c
What does sinx integrate to
-cosx + c
What does cosec2x integrate to
-cotx + c
What does 1/x integrate to
lnx + c
What does sec^2x integrate to
tanx + c
What does secxtanx integrate to
secx + c
What does f (ax + b) integrate to
1/a f(ax + b) + c
What does k f’(x)/f(x) integrate to
kln( f(x) )
What is the integration by parts formula
/u dv/dx dx = uv - / v du/dx dx
What is the trapezium rule equation
1/2h (y0 + yn + 2(y1 + y2 + y3 …))
What is the equation for the width of the trapezium’s
b-a/n
b and a are the bounds
How can dy/dx = f(x)g(y) be written as to solve
/ 1/g(y) = / f(x) dx
What does tankx integrate to
1/k ln(seckx)
In formula book
What does cotkx integrate to
1/k ln(sin kx)
In formula book
what does cosec kx integrate to
-1/k ln(cosec kx + cot kx)
1/k ln(tan(1/2 k))
In formula book
What does sec kx integrate to
1/k ln (sec kx tan kx)
1/k ln(tan(1/2kx + 1/4Pi))
What are the trig identities
sin2A + cos2A = 1
Sec2A = 1 + tan2A
cosec2A = 1 + cot2A
What does lim Sum 2/x=1 sinx dx equal to
2 - 1 / sinx
When integrating trigonometric functions what should be the angles be in
Radians
If your curve is convex, what does that mean for the trapezium rule estimate
The estimate is likely to be an overestimate
If your curve is concave, what does that mean for the trapezium rule estimate
The estimate is likely to be an underestimate
