Top 20 integrals

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a dx

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Number 7: sin x the last thing you want in your derivative equation is sin x.

20 Terms

1

a dx

ax + c

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2

𝑥ⁿ 𝑑𝑥

x^n+1 / n+1 + c

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3

1/x dx

ln |x| + c

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4

𝑒^x 𝑑𝑥

e^x + c

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5

a^x dx

a^x / ln a +c

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6

ln x dx

x ln x -x +c

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7

sin x dx

-cos x +c

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8

cos x dx

sin x +c

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9

tan x dx

ln | secx | +c

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10

cot x dx

ln | sinx | +c

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11

sec x dx

ln | secx + tanx | + c

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12

csc x dx

ln | cscx -cotx | + c

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13

sec^2 x dx

tanx +c

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14

secx tanx dx

secx + c

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15

csc^2 dx

-cotx + c

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16

cscx cotx dx

-cscx + c

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17

𝑡𝑎𝑛² x dx

tanx - x + c

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18

1 / (𝑎² + 𝑥²) 𝑑𝑥

(1/a) tan^-1 x/a +c

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19

1 / ( a^2 -x^2)^ (1/2) dx

sin^-1 x\a +c

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20

1 / x ( x^2 - a^2)^ (1/2) dx

(1\a) sec^-1 |x\a| + c

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