Calc Practice Flashcards

1
Q

(tan(x))’

A

sec²(x)

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2
Q

(sex(x))’

A

sex(x)tan(x)

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3
Q

(csc(x))’

A

-csc(x)cot(x)

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4
Q

(cot(x))’

A

-csx²(x)

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5
Q

(sinˉ(x))’

A

1/sqrt(1-x²)

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6
Q

(cosˉ¹(x)’

A

-1/sqrt(1-x²)

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7
Q

(tanˉ¹(x))’

A

1/(1+x²)

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8
Q

(ax)’

A

ax ln(a)

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9
Q

(ex)’

A

ex

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10
Q

(ln(x))’

A

1/x

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11
Q

(loga(x))’

A

1/(x ln(a))

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12
Q

ʃ 1/x dx

A

ln(x)+c

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13
Q

ʃ ln(x) dx

A

x ln(x)-x

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14
Q

ʃ sec2(x) dx

A

tan(x)+c

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15
Q

ʃ sec(x)tan(x) dx

A

sec(x)+c

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16
Q

ʃ csc(x)cot(x) dx

A

-csc(x)+c

17
Q

ʃ tan(x) dx

A

ln|sex(x)|+c

18
Q

ʃ sec(x) dx

A

ln|sec(x)+tan(x)|+c

19
Q

ʃ 1/(a2+x2) dx

A

(1/x)tan-1(x/a)+c

20
Q

ʃ 1/sqrt(a2-x2) dx

A

sin-1(x/a)+c

21
Q

integration by parts form

A

ʃ udv = uv – ʃ vdu