2 Trig Substitutions : If the integral contains the following root use the given substitution and formula to convert into an integral involving trig functions.

Jul 23, 2025 · The differentiation of exponential and logarithmic functions focuses on their unique properties in calculus, specifically how they change with respect to their base variables.

Jul 26, 2024 · Use this cheat sheet as a reference for the most important formulas, rules, equations, and so on that you need for calculus. The main calculus topics are covered (limits, differentiation, …

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Complete collection of calculus formulas, derivative rules, and equations with step-by-step examples. Essential reference for calculus students and educators.

May 6, 2025 · Master calculus fast with this calculus 1 cheat sheet covering derivatives, integrals, and step-by-step examples. Perfect for exams and quick revision.

1. Series: ⎨ sn = ∑. ... 3. P-Series: ∑∞ ⇒ ⎨ np ⎩ diverges , if p ≤ 1 if p = 1, the series is called the harmonic. = series. 4. Quick Divergence Test: n then No Conclusion! Do another test! 5. 6. diverges …

Position/Velocity/Acceleration Formulas If s(t) gives the position at time t of an object moving in a straight line, then the average velocity of the object over the interval [t,t+∆t] is given by:

CALCULUS LIMITS AND DERIVATIVES LIMIT PROPERTIES DERIVATIVE FORMULAS DERIVATIVE NOTATION Assume that the limits of ( ) and ( ) exist as approaches .

Formulas and Theorems 1a. Definition of Limit: Let f be a function defined on an open interval containing c (except possibly at ) and let L be a real number. Then lim f ( x ) L means that for each 0 there