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BC Calc - Unit 6 (1)

QuestionAnswer
A Left Riemann Sum Is An... under-approximation
A Right Riemann Sum Is An... over-approximation
Riemann Sums Formula ∆x (right/left/middle y-value)
Trapezoidal Rule ∆x (left y-value + right y-value / 2)
Sigma Notation ∑ = sigma notation // n=upper bound // i=index // # i equals=lower bound
RIGHT SIDE ENDPOINTS DO... not always produce a lower sum!!! (it depends on if the function is increasing or decreasing)
Integrals Are... anti-derivatives & the area under the curve
Net Area area under the curve that includes negative values
EVT every continuous function on [a,b] has both an absolute maximum and minimum
In Word Problems, f(x) Is... a number
In Word Problems, f'(x) Is... a rate
In Word Problems, f''(x) Is.. a rate of a rate
Absolute Minimums & Maximums Can Occur At... endpoints & critical values
Constant Multiple Property For Integrals constant can be moved to the outside of ∫f(x)dx
Additive Property For Integrals ∫[f(x)+- g(x)]dx = ∫f(x)dx =- ∫g(x)dx
For An Indefinite Integral, You Must Add... a "+C" after your answer
∫cosx sinx+c
∫sinx -cosx+c
∫csc^2x -cotx+c
∫sec^2x tanx+c
∫cscxcotx -cscx+c
∫secxtanx secx+c
Created by: abievans
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