calculus 1 Flashcards

1
Q

sin2x

A

2sinx*cosx

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2
Q

cos2x

A

cos^2x- sin^2x

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3
Q

sin(a+b)

A

sin(a) cos(b) + cos(a) sin(b)

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4
Q

cos(a+b)

cos(a-b)

A

cos(a) cos(b) - sin(a) sin(b)

cos(a) cos(b) + sin(a) sin(b)

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5
Q

cos^2x

A

1+cos(2x)/2

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6
Q

sin^2x

A

1-cos(2x)/2

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7
Q

a^2-x^2

A

sin

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8
Q

a^2+x^2

A

tan

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9
Q

x^2-a^2

A

sec

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10
Q

sigma 1

A

n

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11
Q

sigma i

A

n(n+1)/2

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12
Q

sigma i^2

A

n(n+1)(2n+1)/6

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13
Q

sigma i^3

A

(n^2(n+1)^2)/4

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14
Q

Riemann summa

A

deltax = b-a/n
xi = a + delta x * i
lim to inf sigma 1 f(delta x) *xi

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15
Q

FTC 1

A

f’(x) = f(x)
if its on the bottom of it do int from 0-nbr = 0
- int 0 to x
if its XS on the top and bottom do int 0 to xb
- 0 to xa

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16
Q

FTC2

A

int a to be = f(b)-f(a)