Welcome to Calculus 2

Welcome to MTH 142! This collection of notes and review videos is meant to supplement our regularly scheduled lecture and preparation videos. These should not be used as a replacement.

Happy Calculus-ing!

~ Prof. Casper

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Integration (I3-I6)

• I3 Substitution Rule for Indefinite Integrals

• I4 Substitution Rule for Definite Integrals

• I5 Integration By Parts for Indefinite Integrals

• I6 Integration By Parts for Definite Integrals

Applications of Definite Integrals (AD1-AD3)

• AD1 Area Between Two Curves

• AD2 Volume for Solids of Revolution

• AD3 Arc Length

Advanced Integration Techniques (AI1-AI9)

• AI1 Odd Powers of Sine and Cosine

• AI2 Even Powers of Sine and Cosine

• AI3 Powers of Secant and Tangent

• AI4 and AI5: Trigonometric Substitutions

• AI6: Partial Fractions

• AI7: Integrating Partial Fractions

• AI8: Improper Integrals

Parametric Equations (PE1-PE4)

• PE1: Parametric Equations

• PE2: Eliminating the Parameter

• PE3: Derivatives and Parametric Curves

• PE4: Length of a Parametric Curve

Polar Coordinates (PC1-PC3)

• PC1: Polar Coordinates

• PC2: Polar Regions

• PC3: Polar Curves

Introduction to Series (S1-S5)

• S1: Sequences

• S2: Limits of Sequences

• S3: Partial Sums

• S4: Geometric Series

• S5: p-Series

Series Testing (ST1-ST8)

• ST1: Test for Divergence

• ST2: Integral Test

• ST3: Direct Comparison Test

• ST4: Limit Comparison Test

• ST5: Alternating Series Test

• ST6: Ratio Test

• ST7: Root Test

• ST8: Absolute Convergence Test