04:05

Definite Integral of √tanθ+√cotθ from 0 to π/2

03:42

Definite Integral of xeˣ/(x+1)² from 0 to 1

06:03

Definite Integral of eˣsin2x from 0 to π/4

05:15

Indefinite Integral of eᵃˣcosbx

05:29

Definite Integral of (x²-t)f(t) from -1 to 1 for given f(x).

03:29

Definite Integral of 1/(1+√tanx) from 0 to π/2

03:44

Definite Integral of f(x)/[f(x)-f(a-x)] from 0 to a

05:38

Indefinite Integral of tan⁷x

08:48

Indefinite Integral of cos⁴x

06:51

Indefinite Integral of (lnx)ⁿ

04:44

Indefinite Integral of x2ˣ

04:51

Indefinite Integral of arctan(ax)

06:52

Indefinite Integral of sin²x

04:09

Indefinite Integral of eˣcosx

06:13

Indefinite Integral of eˣsin²x

04:20

Indefinite Integral of 1/√(x-α)(x-β)

05:48

Indefinite Integral of 1/√(x²-a²)

04:13

Indefinite Integral of x²cosx

07:01

Indefinite Integral of 1/√(x²+ax+b) [2nd Method: Euler's 1st Substitution]

04:10

Indefinite Integral of 1/√(x²+ax+b) [1st Method]

05:24

Indefinite Integral of 1/√(x²+a²)

03:24

Verifying a Trigonomtric Identity [3rd Method]

07:19

Verifying a Trigonomtric Identity [2nd Method]

05:10

Verifying a Trigonomtric Identity [1st Method]

03:48

Indefinite Integral of 1/(3sinθ+4cosθ) [4th Method]

03:37

Indefinite Integral of 1/(3sinθ+4cosθ) [3rd Method]

04:35

Indefinite Integral of 1/(3sinθ+4cosθ) [2nd Method]

10:09

Indefinite Integral of 1/(3sinθ+4cosθ) [1st Method]

04:36

Indefinite Integral of tanⁿθ+tanⁿ⁻²θ, n ≥ 2

04:57

Indefinite Integral of 1/[x(x+1)(x+2)]

06:16

Indefinite Integral of √((eˣ-1)/(eˣ+1))

05:45

Indefinite Integral of 1/sinx [3rd and 4th Method]

04:29

Indefinite Integral of 1/sinx [2nd Method: 2 Solutions]

05:39

Indefinite Integral of 1/sinx [1st Method: 2 Solutions]

04:36

Indefinite Integral of 1/√(1+x²)

04:13

Indefinite Integral of 1/cosx [2nd Solution]

05:39

Indefinite Integral of 1/cosx [1st Solution]

05:11

Indefinite Integral of 1/√(1-x²)

04:05

Indefinite Integral of 1/(1-x²)

03:42

Indefinite Integral of 1/(1+x²)

05:05

Indefinite Integral: Example (1)

04:40

Projectile Motion IV: Trajectory Equation

07:29

Projectile Motion III: Maximum Height

04:32

Projectile Motion II: Vertical Component

03:53

Projectile Motion I: Horizontal Component

04:41

Expanding Speed of Level Surface

04:19

Rising Speed of Surface Level

05:13

Volume of a Truncated Cone

04:59

Velocity of Angle: an Example

06:35

Regarding Moving Points: an Example

04:25

Newton-Raphson Method: Approximating f(x)=0

05:55

Original Newton's Method: Approximating x³-2x-5=0

04:58

Maximizing Cross Area A ⟹ θ, MaxA=? [3rd Method]

05:54

Maximizing Cross Area A ⟹ θ, MaxA=? [2nd Method]

08:24

Maximizing Cross Area A ⟹ x, y, MaxA=? [1st Method]

06:49

Implicit Differentiation: an Examle

05:07

Maximizing Water Area of a Canal

05:14

Power Series: 1/5+2²/5²+3²/5³+4²/5⁴+···=?

07:07

Proving Inequality: (aⁿ+bⁿ)/2 ≧ [(a+b)/2]ⁿ [2nd & 3rd Method]

05:25

Proving Inequality: (aⁿ+bⁿ)/2 ≧ [(a+b)/2]ⁿ [1st Method]