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Section 1

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d/dx arctan(x)

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Calculus Math

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Date created

Mar 1, 2020

Cards (16)

Section 1

(16 cards)

d/dx arctan(x)

Front

1/(1+x^2)

Back

Area of a trapezoid

Front

A=1/2h(b1+b2)

Back

Derivative of x^n

Front

nx^n-1

Back

Displacement on [a,b]

Front

P(b) - P(a) or integral of b to a v(t)dt

Back

moving left or down

Front

negative velocity

Back

integral of x^n dx

Front

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

Back

d/dx arccos(x)

Front

- 1/√(1-x^2)

Back

Total distance traveled

Front

Integral from b to a of |v(t)|dt Or Evaluate the position on the endpoints or each time it changed direction then add the distances traveled

Back

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

Front

1/a arctan(x/a) + c

Back

moving right or up

Front

positive velocity

Back

An object will be speeding up

Front

When v(t) and a(t) have the same sign

Back

d/dx arcsin(x)

Front

1/√(1-x^2)

Back

An object will be slowing down when v(t) and a(t)

Front

Have different signs

Back

Integral dx/(a^2-x^2)^(1/2)

Front

Arcsin(x/a) + c

Back

CHECK YOUR WORK

Front

Back

speed function

Front

|v(t)|

Back