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Limits

Derivatives

Anti-derivatives

Indefinite Integral

Definite Integral

100

a value that a function approaches as the imputed value slowly approaches a number

limit

100

the first derivative solves for

velocity

100

add what constant at the end of an antiderivative

100

integral does not have numbers

indefinite intergral

100

has upper and lower limits

definite integral

200

a value (or line) the graph gets close to, but will never intersect

asymptote

200

the second derivative solves for

acceleration

200

x^r_(dx)=

(x^r+1/r+1) +C

200

to evalute an indefinite integral take the

antiderivative

200

how to solve for definite integral

take antiderivative and plugin upper intergral number - lower integral number to equation

300

the number that makes the denominator equal zero and the function undefined

limit

300

the derivative of a constant is

300

antiderivative of:

1/5

ln l5l +C

300

∫5t³ + 4t

5/4 t⁴ + 2t² +c

300

set up intergral

x<or =4 but >or= 1

_{4 on top of integral 1 on bottom}

400

solve:

lim->5 10x-50/x²-9x+20

400

solve the derivative of

e⁽5x²+2)

e⁽5x²+2) (10x)

400

antiderivative of

secxtanx

secx +c

400

∫3e^x+5cosx

3e^x+5sinx +c

400

∫ x-1/x^1/2

^{from 1 to 4}

2.6666666666666

500

solve:

lim->0 sin5x/cos5x

500

solve the derivative:

sin⁵x

5 (sinx)⁴ (cosx)

500

antiderivative of

5sec²x

5tanx +c

500

∫cos x/sinx

ln lsinxl +c

500

y=x²

y=2-x²

^{0 less than or equal to x less than or equal to 2}