Calc 2

Product Rule

Quotient Rule

Riemann Sum Limit Formula

Fundamental Theorem Calc #1

Note If x is a function, the chain rule applies
also idk why it says 2nd

Fundamental Theorem Calc #2

integration by parts

How to choose “u” in int x parts

Fundamental Pythagorean Identity

Sine Power Reduction Formula
(sin²(θ)=?)

Cosine Power Reduction Formula
(cos²(θ)=?)

When integrating a function with sin or cos, and there is an odd power, which trig identity should we use?

When integrating a function with sin or cos, and there is only even powers, which trig identity should we use?

Sec/Tan Pythagorean Identity

Derivative of secx

Derivative of tanx

What must you always remember at the end of an indefinite integral problem?

+ C

Partial Fractions Distinct Roots

Partial Fractions Repeated Roots

Note If (x-b) was not included, the A and B parts of the formula would be the same

Partial Fractions Complex Roots

Note x² + bx + c cannot be factorized any further

What should we trig. sub. here?

OR COS

What should we trig. sub. here?

What should we trig. sub. here?

Note: It can be either form, they are equal

cos2theta

since it’s cos(2x), substitute the 2x into the double angle formula to get this

What is doubling time?

td or t2 —> time taken to double population

What is half life?

t1/2 —> time taken to half the population

Doubling Time Equation for k

Half Life Equation for k

Continuous Exponential Growth Formula

(usually y)

what does k represent for exponential growth?

growth/decay rate

ln 1

0

ln e

1