Calculus Flashcards

1
Q

∫ sinx dx=

A

−cosx+C

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2
Q

∫ cosx dx=

A

sinx+C

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3
Q

d/dx (sin(x))=

A

cos(x)

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4
Q

d/dx (cos(x))=

A

−sin(x)

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5
Q

ddx (tan(x))=

A

sec2(x)

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6
Q

ddx (cot(x))=

A

−csc2(x)

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7
Q

ddx (sec(x))=

A

sec(x)tan(x)

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8
Q

ddx (csc(x))=

A

−cot(x)csc(x)

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9
Q

∫tan(x)dx=

A

−ln∣cos(x)∣+C =

ln∣sec(x)∣+C

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10
Q

∫cot(x)dx=

A

ln∣sin(x)∣+C=

−ln∣csc(x)∣+C

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11
Q

∫sec(x)dx=

A

ln∣sec(x)+tan(x)∣ + C

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12
Q

∫csc(x)dx=

A

−ln∣csc(x)+cot(x)∣ + C

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13
Q

∫sec2x dx =

A

tan x + C

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14
Q

∫csc2x dx =

A

− cotan x + C

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15
Q

∫(sec xtan x)dx =

A

sec x + C

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16
Q

∫(csc x cot x)dx =

A

− cosec x + C

17
Q
A
18
Q

n i2 =

A

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

19
Q

n i

A

n(n+1)/2

20
Q

n i3

A

n2(n+1)2/4

(∑n i)2