Integration Flashcards

1
Q

∫ ex dx

A

e^x +c

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2
Q

∫ ekx dx

A

1/k ekx +c

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3
Q

∫ 1/x dx

A

ln x +c

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4
Q

∫ f(ax+b) dx

A

1/a F(ax+b) +c

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5
Q

∫ sin (x) dx

A

-cosx +c

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6
Q

∫ sin (kx) dx

A

-1/k cos (kx) + c

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7
Q

∫ cos (kx) dx

A

1/k sin (kx) +c

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8
Q

∫ sec2 (x) dx

A

tan2 (x) +c

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9
Q

∫ cosec (x) dx

A

-cot (x) +c

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10
Q

∫ sec (x) tan(x) dx

A

sec (x) +c

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11
Q

∫ cosec (x) cot(x) dx

A
  • cosec (x) +c
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12
Q

∫ f’(x) / f(x) dx

A

ln | f(x) | + c

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