Physics
Physics: step-by-step Socratic AI tutors, core formulas, worked examples, and exam prep across High School, CÉGEP, and University.
High School & AP
F = ma⚡ Conceptual Mechanics
Newton's laws, velocity, acceleration, free fall, work, kinetic and potential energy
Open Course Track & Prompts →τ = Iα🧲 AP Physics (1 & 2)
Rotational torque, angular momentum, simple harmonic motion, DC circuits, ray optics
Open Course Track & Prompts →CÉGEP & College
W = ΔK🏎️ Physics: Mechanics
Kinematics in 2D, Newton's laws, friction, work-energy theorem, rotational dynamics, torque
Open Course Track & Prompts →V = IR⚡ Physics: Electricity & Magnetism
Coulomb's law, electric field, Gauss's law, electric potential, capacitors, RC circuits
Open Course Track & Prompts →v = fλ🌊 Physics: Waves & Modern
Simple harmonic motion, sound waves, Doppler effect, thin-film interference, photoelectric effect
Open Course Track & Prompts →University & Honours
L = T - V⚙️ Classical Mechanics & Dynamics
Lagrangian mechanics, Euler-Lagrange equations, generalized coordinates, central forces, Hamiltonian
Open Course Track & Prompts →∇ · B = 0⚡ Electrodynamics & Maxwell
Maxwell's equations in differential form, electromagnetic wave equation, Poynting vector, radiation
Open Course Track & Prompts →iħ ∂ψ/∂t = Ĥψ⚛️ Quantum Physics
Schrödinger equation, 1D potential wells, ladder operators, quantum harmonic oscillator, spin states
Open Course Track & Prompts →1-Page Exam Sheet: Integration by Parts
Always set u = x (Algebraic) before e^(2x) (Exponential) so u differentiates down to 1 in one step.
- 1. Set u = x → du = dx; set dv = e^(2x) dx → v = ½e^(2x)
- 2. Apply uv - ∫v du: ½x·e^(2x) - ∫ ½e^(2x) dx
- 3. Final Exam Answer: ½x·e^(2x) - ¼e^(2x) + C
Which function becomes "u" in ∫ x·ln(x) dx?
u = ln(x), because Logarithmic (L) beats Algebraic (A) in LIATE.
Why do students lose 2 points on the final step?
Forgetting to divide by the inner derivative (½ twice → ¼) and omitting + C.
When should you use Tabular Integration instead?
Whenever u is a polynomial (like x³) paired with sin(x) or e^(kx).