Formulas Flashcards

1
Q

(d/dx)(arctanx)=

A

(du/dx)/(u^2+1)

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2
Q

(d/dx)(arcsinx)=

A

(du/dx)/(1-u^2)^1/2

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3
Q

(d/dx)(arcsecx)=

A

(du/dx)/(lul(u^2-1)^1/2)

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4
Q

integral(du)/(a^2-u^2)^1/2=

A

arcsin(u/a)+C

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5
Q

integral(du)/(a^2+u^2)=

A

(1/a)tan(u/a)+C

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6
Q

integral(du)/(u(u^2-a^2)^1/2)=

A

(1/a)arcsec(lul/a)+C

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7
Q

(d/dx)e^u=

A

e^u(du/dx)

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8
Q

integral(e^u)du=

A

e^u+C

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9
Q

(d/dx)a^u=

A

lna(a^u)(du/dx)

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10
Q

integral(a^u)du=

A

1/(lna)+C

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11
Q

(d/dx)log,(a)u=

A

(1/(ulna))du/dx

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12
Q

(d/dx)lnu=

A

1/u(du/dx)

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13
Q

integral(cotx)=

A

lnlsinxl+C

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14
Q

integral(tanx)=

A

-lnlcosxl+C

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15
Q

integral(cscx)=

A

-lnlcscx+cotxl+C

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16
Q

integral(secx)=

A

lnlsecx+tanxl+C