Math notes/Calculus I/The IntegralSubstitution and Transformed Bounds — Cheat sheetCHEAT SHEET · FREELessonCheat sheet →Unit cheat sheet →Save as PDF ↓Choose “Save as PDF” in the print dialog.On this pageCore ruleWatch forCore rule∫f(g(x))g′(x)dx=F(g(x))+Cwhen F′=f.\int f(g(x))g'(x)dx=F(g(x))+C\quad\text{when }F'=f.∫f(g(x))g′(x)dx=F(g(x))+Cwhen F′=f. Watch forRewrite all variable factors. For definite integrals, either transform the bounds or return to the original variable before evaluation. Track orientation and domains.← PREVIOUS LESSONDefinite Integrals and the Fundamental TheoremNEXT LESSON →Net Change, Distance and a Calculus I Checkpoint
Mr. Integral