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Calculus

memorize.aimemorize.ai (lvl 286)
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31 cards
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Section 1

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Riemann Sum

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Last updated

6 years ago

Date created

Mar 14, 2020

Cards (31)

Section 1

(31 cards)

Riemann Sum

Front

Intergal (a to b) = w(y1+y2+y3...)

Back

Differentiating Log Functions

Front

D/dx lnu= (1/u)(u')= (u'/u) or log(base,a)u= (I'/ulna)

Back

Volumes of Revolution DISK METHOD

Front

V= pi( intergal a to b) (top-bottom)^2-(top-middle)^2dx

Back

integral of cosx

Front

sinx + c

Back

Integral csc^2

Front

-cotx + c

Back

Integral of cscxcotx

Front

-cscx + C

Back

Derivative of Tangent

Front

sec^2x

Back

Integral of cot

Front

Ln|sinx|+ C

Back

Derivatives of Inverse Cos

Front

D/dx arc cosx= -1/(sqrt (1-x^2) or (-u')

Back

Tan^2(x) + 1 = sec^2(x)

Front

Pythagorean Identify 3

Back

Derivative of Secant

Front

secxtanx

Back

Domain x values for trig inverse

Front

[-1,1] [-1,1] (- infinity, infinity)

Back

Sin^2(x) + Cos^2(x) = 1

Front

Pythagorean Identity 1

Back

derivative of cosx

Front

-sinx

Back

Rang y values for trig inverse

Front

[ -pi/2, pi/2] [0, pi] [-pi/2, pi/2]

Back

Derivative of cscx

Front

-cscxcotx

Back

Integral of sec^2

Front

tanx+c

Back

integral of tanx

Front

-ln |cosx|+C

Back

Derivatives of Inverse Tanx

Front

D/dx arc tanx= 1/(1+x^2) or (u')

Back

Trapezoidal Rule

Front

Integral (a to b) = ((b-a)/2n)(f(x)+2f(x)+2f(x)+f(x))

Back

integral of sinx

Front

-cosx + c

Back

Differentiating Exponential Functions

Front

D/dx e^u= u'e^u or d/dxa^u=a^uu'lna

Back

Integrating Logistics

Front

Integral (1/x)dx= ln|x|+ C and integral (u'/u) dx= ln|u|+C

Back

Derivative of cotx

Front

-csc^2x

Back

integral of secxtanx

Front

secx + c

Back

Integrating Exponential Functions

Front

Integral of e^u u' dx = e^u+ c or intergal of a^uu' dx = (a^u)/(u' lna) + c

Back

Average Value Theorem

Front

1/ (b-a) times the integral on (a, b) of f(x) dx

Back

Exponential growth & decay

Front

Y=Ce^(kt)

Back

Derivative of sin

Front

Cos

Back

1 + cot^2x = csc^2x

Front

Pythagorean Identify 2

Back

Derivatives of Inverse Sin

Front

D/dx arc sinx= 1/(sqrt (1-x^2) or (u')/

Back