Derivative and Integral Formulas Flashcards

(16 cards)

1
Q

derivative of cot x

A

-csc^2(x)

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2
Q

derivative of csc x

A

-cotx*cscx

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3
Q

derivative of e^x

A

e^x*d/dx

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4
Q

derivative of a^x

A

a^x(ln a)d/dx

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5
Q

derivative of ln(x)

A

1/x*d/dx

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6
Q

derivative or arcsin(x)

A

1/sqrt(1-x^2)d/dx

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7
Q

derivative of arctan(x)

A

1/x^2+1

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8
Q

integral of a^x

A

a^x/ln(a)

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9
Q

integral of ln(x)

A

xln(x)-x

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10
Q

integral of tan(x)

A

ln|sec(x)|

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11
Q

integral of cot(x)

A

ln|sin(x)|

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12
Q

integral of sec(x)

A

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

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13
Q

integral of csc(x)

A

ln|csc(x)-cot(x)|

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14
Q

integral of 1/(a^2+x^2)

A

1/a(arctan(u/a)

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15
Q

integral of 1/(sqrt(a^2-u^2))

A

arcsin(u/a)

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