Basic Anit Flashcards

1
Q

x^n dx

A

(1/n+1)(x^n+1)+C

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2
Q

cx^n dx

A

(c/n+1)(x^n+1)+C

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3
Q

(1/2√x)

A

√x+C

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4
Q

(c/2√x)

A

c√x+C

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5
Q

(-1/x²) dx

A

(1/x)+C

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6
Q

(-c/x²)

A

(c/x)+C

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7
Q

cos x dx

A

sin x + C

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8
Q

c cos x dx

A

c sin x + C

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9
Q

cos (kx) dx

A

(1/k) sin (kx) + C

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10
Q

sec² (x) dx

A

tan x + C

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11
Q

c sec² (x) dx

A

c tan x + C

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12
Q

sec² (kx) dx

A

(1/k) tan (kx) + C

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13
Q

sec x tan x dx

A

sec x + C

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14
Q

c sec x tan x dx

A

c sec x + C

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15
Q

sec (kx) tan (kx) dx

A

(1/k) sec (kx) + C

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16
Q

sin x dx

A

-cos x + C

17
Q

csc² x dx

A

-cot x + C

18
Q

csc x cot x dx

A

-csc x + C

19
Q

e^x dx

A

e^x + C

20
Q

ce^x dx

A

ce^x + C

21
Q

(c/x) dx

A

c Inlxl + C

22
Q

(1/kx+d) dx

A

(1/k) In lkx+dl + C

23
Q

e^(kx) dx

A

(1/k) e^kx + C

24
Q

(1/x) dx

A

Inlxl + C

25
Q

(1/x+d) dx

A

In lx+dl + C