Ap Calculus 2 Jeopardy Template

Underestimate or Overestimate	Integrals	Derivatives	Particle Motion	Cross Sections
100 Overestimate If the function is concave down, then the midpoint sum is an _____	100 Inverse sine x + C ∫1 / √(1-x^2) dx	100 (ln(a)) (a^x) (a^x)'	100 a'(t) Velocity	100 V=m integral from a to b (top-bottom)^2 Rectangles with height m times the base
200 Overestimate If the function decreasing, then the left sum is an ______	200 -csc(x) + C ∫csc(x)cot(x) dx	200 1 / x (ln(x))'	200 V(t)>0 Particle is moving to the right	200 V=π/4 integral from a to b (top function-bottom function)^2 dx Quarter Circles
300 Overestimate If the function is concave up, then the trapezoid sum is an ______	300 sec(x)+C ∫sec(x)tan(x) dx	300 1 / ((ln(a))x) The derivative of log base a of x	300 V'(t) or p''(t) Acceleration	300 V=π/8 integral from a to b (top function-bottom function)^2 dx Semi-Circle
400 Underestimate If the function is concave up, the then midpoint sum is an _____	400 -cot(x) +C ∫csc^2(x) dx	400 1 / √(1-x^2) The inverse of sine x	400 V(t)<0 Particle is moving to the left	400 V=√(3)/4 integral from a to b (top function-bottom function)^2 dx Equilateral Triangles
500 Underestimate If the function is concave down, the trapezoid sum is an _____	500 tan(x) + C ∫sec^2(x) dx	500 1 / (f'(f inverse (x))) The derivative of f inverse (x)	500 lV(t)l Speed	500 V=1/4 integral from a to b (top function-bottom function)^2 dx Cross-Section (Isosceles Right Triangle with hypotenuse on base)

Ap Calculus 2

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