Basic Integral Formulas Flashcards

1
Q

∫x^n dx

A

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

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2
Q

∫e^x dx

A

e^x + C

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3
Q

∫sinx dx

A

-cosx + C

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4
Q

∫sec^2x dx

A

tanx + C

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5
Q

∫secxtanx dx

A

secx + C

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6
Q

∫sinhx dx

A

coshx + C

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7
Q

∫tanx dx

A

ln|secx| + C

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8
Q

∫1/(x^2 + a^2) dx

A

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

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9
Q

∫1/x dx

A

lnx + C

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10
Q

∫a^x dx

A

(a^x)/(ln(a)) + C

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11
Q

∫cosx dx

A

sinx + C

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12
Q

∫csc^2x dx

A

-cotx + C

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13
Q

∫cscxcotx dx

A

-cscx + C

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14
Q

∫coshx dx

A

sinhx + C

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15
Q

∫cotx dx

A

ln|sinx| + C

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16
Q

∫1/(sqrt(a^2 - x^2)) dx

A

(1/a)sin^-1(x/a) + C

17
Q

∫lnx dx

A

xlnx - x + C

18
Q
A