THE CALCULUS: Computing the Antiderivative of a Trigonometric Function using the Chain Rule_4

r) (4^(𝑥+1)/2^(𝑥−1)) = 32 (p o w e r)

q) 7^4𝑥 7^(1−2𝑥) 7 = 49 (p o w e r)

p) 3^3𝑥 3^(𝑥−2) = 9^𝑥 (p o w e r)

o) 8^(2𝑥+1) = 16^(𝑥+1) (p o w e r)

n) 4^5𝑥 = 32^(𝑥+5) (p o w e r)

m) 2^(3𝑥−2) = 4^𝑥 (p o w e r)

THE CALCULUS: Computing the Antiderivative of a Trigonometric Function using the Substitution Rule_3

THE CALCULUS: Computing the Antiderivative of a Trigonometric Function using the Chain Rule_3

l) 25^2𝑥 = 125 (p o w e r)

k) 16^𝑥 = 8 (p o w e r)

Practice Drill!: Product of Two Binomials, (𝒙−𝒂)(𝒙−𝒃)

THE CALCULUS: Computing the Antiderivative of a Trigonometric Function using the Substitution Rule_2

THE CALCULUS: Computing the Antiderivative of a Trigonometric Function using the Chain Rule_2

j) 8^(2𝑥+2) = 1 (p o w e r)

i) 3^2𝑥 = 1/243 (p o w e r)

h) 3^(𝑥+1) = 1/81 (p o w e r)

THE CALCULUS: Computing the Antiderivative of a Trigonometric Function using the Substitution Rule_1

THE CALCULUS: Computing the Antiderivative of a Trigonometric Function using the Chain Rule_1

g) 4^2𝑥 = 1/4 (p o w e r)

f) 7^(𝑥+5) = 343 (p o w e r)

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Substitution Rule_6

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Chain Rule_6

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Substitution Rule_5

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Chain Rule_5

e) 2^(𝑥−1) = 64 (p o w e r)

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Substitution Rule_4

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Chain Rule_4

d) 2^(𝑥+3) = 32 (p o w e r)

Practice Drill!: Product of Two Binomials, (𝒙+𝒂)(𝒙+𝒃)

Practice Drill!: Square of a Binomial, (𝒂+𝒃)^𝟐

Practice Drill!: Product of Sum and Difference, (𝒂+𝒃)(𝒂−𝒃)

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Substitution Rule_3

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Chain Rule_3

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Substitution Rule_2

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Chain Rule_2

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Substitution Rule_1

THE CALCULUS: Computing the Antiderivative of an Exponential Function using the Chain Rule_1

Amplitude of 𝑦 = 𝑎 cos (⁡𝑏𝑥 + 𝑐)

THE CALCULUS: Computing the Antiderivative of a Radical Function using the Substitution Rule_5

Amplitude of 𝑦 = 𝑎 sin (⁡𝑏𝑥 + 𝑐)

THE CALCULUS: Computing the Antiderivative of a Radical Function using the Chain Rule_5

Amplitude of Trigonometric Functions

THE CALCULUS: Computing the Antiderivative of a Radical Function using the Substitution Rule_4

THE CALCULUS: Computing the Antiderivative of a Radical Function using the Chain Rule_4

THE CALCULUS: Computing the Antiderivative of a Radical Function using the Substitution Rule_3

c) 2^𝑥 = √2, 2^𝑥 = (3)√2, 2^𝑥 = 1/√2 (p o w e r)

b) 3^𝑥 = 1, 3^𝑥 = 1/3, 3^𝑥 = 1/27 (p o w e r)

a) 5^𝑥 = 5, 5^𝑥 = 25, 5^𝑥 = 625 (p o w e r)

Opening Video_p o w e r

THE CALCULUS: Computing the Antiderivative of a Radical Function using the Chain Rule_3

THE CALCULUS: Computing the Antiderivative of a Radical Function using the Substitution Rule_2

THE CALCULUS: Computing the Antiderivative of a Radical Function using the Chain Rule_2

THE CALCULUS: Computing the Antiderivative of a Radical Function using the Substitution Rule_1

THE CALCULUS: Computing the Antiderivative of a Radical Function using the Chain Rule_1

THE CALCULUS: Computing the Antiderivative of a Rational Function using the Substitution Rule_5

THE CALCULUS: Computing the Antiderivative of a Rational Function using the Chain Rule_5

THE CALCULUS: Computing the Antiderivative of a Rational Function using the Substitution Rule_4

THE CALCULUS: Computing the Antiderivative of a Rational Function using the Chain Rule_4

THE CALCULUS: Computing the Antiderivative of a Rational Function using the Substitution Rule_3