Integral Calculus Flashcards

(26 cards)

1
Q

∫(0) dx

A

C

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2
Q

∫(u + v) dx

A

∫u dx + ∫v dx

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3
Q

∫u^n du

A

(u^(n+1))/(n+1) + c

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4
Q

∫1/u du

A

ln u + c

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5
Q

∫e^u du

A

e^u + c

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6
Q

∫a^u du

A

a^u/(ln a) + c

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7
Q

∫ (sin u) du

A
  • cos u + c
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8
Q

∫ (cos u) du

A

sin u + c

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9
Q

∫(tan u) du

A

ln |sec u| + c or -ln cos u + c

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10
Q

∫(cot u) du

A

ln |sin u| + c

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11
Q

∫(sec u) du

A

ln |sec u + tan u| + c

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12
Q

∫(csc u) du

A

ln |csc u - cot u| + c

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13
Q

∫(sec² u) du

A

tan u + c

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14
Q

∫(csc² u) du

A
  • cot u + c
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15
Q

∫(sec u tan u) du

A

sec u + c

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16
Q

∫(csc u cot u) du

17
Q

∫(sinh u) du

18
Q

∫(cosh u) du

19
Q

∫(tanh u) du

A

ln (cosh u) + c

20
Q

∫(coth u) du

A

ln (sinh u) + c

21
Q

∫(sech u) du

A

arctan (sinh u) + c

22
Q

∫(csch u) du

A

ln |tanh u/2| + c

23
Q

∫(sech² u) du

24
Q

∫(csch² u) du

25
∫(sech u tanh u) du
- sech u + c
26
∫(csch u coth u) du
- csch u + c