Calculus Flashcards

1
Q

Integration by parts

A

A method of doing an integral where you take one part of the integral set equal to u, and the rest equal to dv. Then plug into the formula uv- Svdu

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2
Q

U substitution

A

A method of doing an integral where you set part of an integral equal to u, so you can take the derivative of an easier function, then plug the u back in after

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3
Q

int(7x^2 ln(x) dx); u = ln(x), dv = 7x2 dx

A

(7x^3ln(x))/3-(7x^3)/9+C

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4
Q

int(9xcos(x)dx); u = 9x dv = cos(x)dx

A

9xsin(x)+9cos(x)+C

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5
Q
A
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6
Q
A
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7
Q
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8
Q
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9
Q
A
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10
Q
A
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11
Q

Convergent or Divergent

A

convergent at 0

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12
Q

Convergent or Divergent

A

Convergent

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13
Q
A
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14
Q
A
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15
Q

Find volume about the x-axis

A
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16
Q

Find Volume

A
17
Q

Find Area

A

32/3

18
Q

Find Area

A