Integration (2) Flashcards

1
Q

What is ∫ (f’(x)/f(x)) dx?

A

ln|f(x)| + C

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2
Q

ln|f(x)| + C

A

What is ∫ (f’(x)/f(x)) dx?

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3
Q

What is ∫ sinx dx?

A

-cosx + C

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4
Q

-cosx + C

A

What is ∫ sinx dx?

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5
Q

What is ∫ cosx dx?

A

sinx + C

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6
Q

sinx + C

A

What is ∫ cosx dx?

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7
Q

What is ∫ sec^2 x dx?

A

tanx + C

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8
Q

tanx + C

A

What is ∫ sec^2 x dx?

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9
Q

-cosecx + C

A

What is ∫ cosecxcotx dx?

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10
Q

What is ∫ cosecxcotx dx?

A

-cosecx + C

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11
Q

-cosecx + C

A

What is ∫ cosecxcotx dx?

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12
Q

What is ∫ secxtanx dx?

A

secx + C

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13
Q

secx + C

A

What is ∫ secxtanx dx?

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13
Q

What is ∫ cosec^2 x dx

A

-cotx + C

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14
Q

-cotx + C

A

What is ∫ cosec^2 x dx

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15
Q

What is ∫ tanx dx?

A

-ln|cosx| + C

17
Q

-ln|cosx| + C

A

What is ∫ tanx dx?

18
Q

Formula for integrating parametric equations?

A

∫y * (dx/dt) * dt

19
Q

∫y * (dx/dt) * dt

A

Formula for integrating parametric equations?

20
Q

What does - 12∫sin(t/4)dt integrate to?

A

+ 48cos(t/4)+c