Math with Professor V Courses

Integral of the Day 6.23.25 - Trigonometric Substitution and Boomerang Integration Tutorial

Master trigonometric substitution and integration techniques through a challenging integral that demonstrates multiple solution strategies and mathematical concepts.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

Double Integrals in Polar Coordinates - Raw Homework Help

Experience raw, unfiltered Calculus 3 as Professor V tackles double integrals in polar coordinates through live homework problem-solving with real classroom dynamics.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

Double Integrals Over General Regions - Raw Homework Help (15.2)

Experience raw, unfiltered Calculus 3 classroom action as Professor V tackles double integrals over general regions with real students solving homework problems live.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

Definition of a Limit - Bridging the Gap from Precalculus to Calculus - Lecture 2.1

Explore the formal definition of limits, a foundational calculus concept that bridges precalculus and calculus, building both conceptual understanding and technical skills.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Integral of the Day 5.30.25 - It LOOKS Worse Than It Is! Can You Solve It?

Master a challenging integral that appears more complex than it actually is through step-by-step problem-solving techniques and mathematical insights.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

Calculus 2: Solving Exam 2 Spring '25 - Integrals, Arc Length, Surface Area and More

Watch Professor V solve a complete Calculus 2 exam covering integration techniques, arc length, surface area, and more advanced calculus concepts with step-by-step explanations.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Integral of the Day - Rationalizing Substitution for Integration

Dive into a challenging "Integral of the Day" problem that demonstrates rationalizing substitution techniques for integration, with step-by-step explanations from Professor V.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

Differential Equations: Solving Exam 2 Spring '25 - Homogeneous Equations, Annihilators and More

Master solving differential equations through a comprehensive exam walkthrough covering homogeneous equations, annihilator methods, superposition approach, and variation of parameters with Professor V.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Calculus 2 Exam Review - Areas, Volumes by Slicing, and Integration

Master advanced calculus concepts through a detailed exam walkthrough covering areas between curves, volume calculations, integration techniques, and practical applications.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Integral of the Day - Solving sin(4x)*e^(tanx)^2 dx - January 23, 2025

Master complex integration techniques through a challenging problem involving trigonometric functions and exponentials, with step-by-step guidance on solving ∫(sin(4x)*e^(tanx)^2)dx.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Evaluating Trigonometric Integrals - Powers of Sine, Cosine, Tangent and More

Master techniques for evaluating trigonometric integrals, including powers of sine, cosine, and tangent through clear explanations and practical examples of using identities and u-substitution methods.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Medium Spicy Trigonometric Integral Problem - Day 2.7.25

Master challenging trigonometric integration techniques through a medium-difficulty problem, with step-by-step guidance on solving complex calculus equations.

• YouTube
• 12 minutes
• Self-Paced
• Free Video

Solving Integrals Using Weierstrass Substitution - Day 5

Master the Weierstrass Substitution technique for solving complex trigonometric integrals, focusing on the specific problem ∫ 1/(3-2sinx) dx with clear step-by-step guidance.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

Solving the Integral ∫(x lnx)/(x²-1)^(1/2) dx - Day 4 of 13 Integrals

Master advanced integration techniques by solving a complex integral involving logarithms and square roots. Part of a 13-day series preparing for 2025 with clear, step-by-step explanations.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

Tabular Method for Integration by Parts in Calculus 2

Master the tabular method for integration by parts through five practical examples, learning an efficient approach for solving polynomial-based integrals and boomerang cases in calculus.

• YouTube
• 24 minutes
• Self-Paced
• Free Video