Engineering Tech
Engineering Tech: step-by-step Socratic AI tutors, core formulas, worked examples, and exam prep across High School, CÉGEP, and University.
High School & AP
CÉGEP & College
∑F = 0, ∑M = 0📐 CAD Modeling & Statics
SolidWorks/AutoCAD 2D/3D modeling, force equilibrium, 2D trusses, method of joints and sections
Open Course Track & Prompts →V = IR / KVL🔌 Electronics & Circuit Tech
AC/DC circuit analysis, Kirchhoff's laws, oscilloscopes, operational amplifiers, transistors
Open Course Track & Prompts →University & Honours
σ = My / I🏗️ Mechanics of Materials
Stress/strain tensors, axial loading, shear and bending moment diagrams, torsion, Mohr's circle
Open Course Track & Prompts →P + ½ρv² = C🌊 Fluids & Thermodynamics
Navier-Stokes equations, Bernoulli principle, pipe friction losses, Carnot & Rankine power cycles
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).