Math 1B Midterm 1 Flashcards

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22 Terms

1

k² - x²

x = ksinθ

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2

x² + k²

x = ktanθ

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3

x² - k²

x = ksecθ

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4

a odd

u = sin x

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5

b odd

u = cosx

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6

-(a+b) even

u = tanx

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7

integral of b^x

b^x / (lnb)

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8

error bound formula midpoint rule

K(b-a)³/(24n²)

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9

error bound trapezoidal rule

K(b-a)³/(12n²)

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10

error bound formula simpsons rule

K(b-a)^5/(180n²)

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11

IBP

int uv’ = uv - int u’v

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12

double angle identity (sin2θ = ?)

2cosθsinθ

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13

x²-1

quadratic

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14

x+1

constant

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15

x

constant

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16

constant

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17

(x+1)²

constant

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18

(x²-1)²

quadratic

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19

concave up on [a,b]

Mn < f(x) < Tn

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20

concave down on [a,b]

Tn < f(x) < Mn

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21

increasing on [a,b]

Ln < f(x) < Rn

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22

decreasing on [a,b]

Rn < f(x) < Ln

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