Average Value Question!

AP Physics C | 2023 | Set 2 Question 2

AP Physics 1 | 2025 | Question 1 | Version J

Are these areas equal?

Tabular Method + Examples

∫ (log (sin x)) dx = ∫ (log (cos x)) dx = -π/2 log x

Solve ∫ (x sinx cos x) / (cos⁴ x + sin⁴ x) dx

Little Update!

Practice Problems with ∫ f(x) dx = ∫ f(a - x) dx

∫ { | x + 1| + |x| + |x - 1| } dx

∫ sin³ x (1 + 2 cos x) (1 + cos x)² dx

∫ [ √(x- 1) / √(x + 1) ] dx

∫ (x + sin x) / (1 + cos x) dx

Solve ∫ x (tan⁻¹ x )² dx

Part 2: Special Integrals involving √ (a² - x²), a² + x², and more!

Part 1: Special Integrals involving √ (a² - x²), a² + x², and more!

Solve integrals in the form of f '(x)/f(x) | Part 2: With Trig

Solve integrals in the form of f '(x)/f(x) | Part 1: Without Trig

How to Solve Integrals in the Form of sinᵐ x and cosᵐ x

Sample Problem: Real World Application of Derivatives

Properties of Adding, Subtracting, Scalars in Matrices

What is Mean Value Theorem & Rolle's Theorem + Questions

Approximations using Derivatives

Differentiating Infinite Functions + Tips on how to differentiate easily

Introduction to Matrices | elements, order, notation

Matrix + Quadratic Question

Properties of Determinants (Matrices)

Brief Properties of Parallelograms ▱, Trapezoids ⏢, and Triangles △

10 HARDEST SAT MATH PROBLEMS | Discriminants, Geometry, Mathematical Relationships, etc

Find Volume of a Curve in the First Quadrant

Very Brief Overview on Ellipse

Math Olympiad Question | Intersection and Union

Math Olympiad Question | simple yet tricky!

Math Olympiad Question - Geometric Series Edition

Math Olympiad Question - Simply Algebra!

Distance of a Point from A Line Introduction

Permutation Problem With Restriction

Complex Number Series: Part 4 | Square Root of a Complex Number

Complex Number Series: Part 3 | Modulus

Complex Number Series: Part 2 | Conjugates

Complex Number Series: Part 1 | What are Complex numbers

Math Induction Problem (integration, series, limits)

Finding functions given 2 equations and a variable

Proving an Inequality with an important theorem!!

Proving an equality with integration

Proving an inequality with factorials, submission, logs, and more!

How to take the derivative of an integral

A tricky integration problem!

A quick problem using u-Substition #2

A simple problem in U-substitution

Full u-substitution tutorial

∫(2x-3)³dx ➡ U-substitution

A couple of questions on U-Substitution

∫cos³x ➡ U-Substitution Problem

∫sin³x ➡ U-Substitution Problem

A simple problem using integration by parts

A quick problem that is solved use Integration by Parts

Finding Reference Angles on a Unit Circle (sin, cos, tan)

Increasing/Decreasing Functions with Variation Table

Interesting Exponent Problem