Integration/differentiation Flashcards

1
Q

What is the integral of Sec^2x

A

tanx

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2
Q

What is the integral of cosecxcotx

A

-cosecx

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3
Q

What is the integral of cosec^2x

A

-cotx

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4
Q

What is the integral of secxtanx

A

secx

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5
Q
A
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6
Q

How do we integrate this parametrically

A
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7
Q

How do we differentiate 2xy with respect to x

A

Split x’s & ys and apply product rule
ie
2x x y

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8
Q

What is the formula for parametric integration

A
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9
Q

What’s the formula for integration by parts

A
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10
Q

Prove the derivative of cosx is -sinx

A
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11
Q

What is the first principles equation

A

f(x+h) - f(x)/h

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12
Q

Prove the derivative of sinx is cosx

A
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13
Q
A
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14
Q

What do we do when integrating if we want to flip the bounds (if top is smaller than bottom)

A

We put a minus in front of the function and flip

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15
Q
A
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