Integral Formulas Flashcards

0
Q

int( sin x ) dx

A

-cos x + C

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1
Q

int( x^n) dx

A

x^(n+1) / (n+1) + C, (n not equal to 1)

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2
Q

int( cos x ) dx

A

sin x + C

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3
Q

int( tan x ) dx

A

LN(sec x) + C

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4
Q

int( e^x ) dx

A

e^x + C

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5
Q

int( 1/x ) dx

A

LN |x| + C

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6
Q

int ( 1/u )du

A

LN |u| + C

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7
Q

int( a^x ) dx

A

(a^x)/LN(a) + C

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8
Q

Integration By Parts

int u*dv =

A

uv - int vdu

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9
Q

int 1/(1+x^2) dx

A

arctan(x) + C

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10
Q

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

A

arcsin(x) + C

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11
Q

int sin(ax) dx

A

-cos(ax)/a + C

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12
Q

int cos(ax) dx

A

sin(ax)/a + C

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13
Q

int e^(ax) dx

A

(1/a)*e^(ax) + C

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