Welcome to Calculus 2, the second part of Single Variable Calculus. This course covers all of integral calculus, starting with Riemann Sums and ending with Series and Sequences.

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### Lectures

##### Areas and Integrals

Area

Riemann Sums

The Definite Integral

Properties of Integrals

Fundamental Theorem of Calculus 1

Fundamental Theorem of Calculus 2

Indefinite Integrals

Net Change Theorem

U-Substitution Method for Indefinite Integrals

U-Substitution Method for Definite Integrals

##### Applications of Integrals

Area Between Curves for y=f(x)

Area Between Curves for x=f(y)

Volume by Disc Method I

Volume by Disc Method II

Volume by Cylindrical Shells

Average Value and MVT for Integrals

##### Integration Techniques

Integration by Parts

Trigonometric Integrals I

Trigonometric Integrals II

Trigonometric Substitution

Partial Fractions

Integration Strategies

Improper Integrals

##### Parametric Equations and Polar Coordinates

Arc Length in Cartesian Coordinates

Arc Length in Parametric Equations

Area in Polar Coordinates

Arc Length in Polar Coordinates

##### Sequences and Series

Sequences

Series – Convergence and Divergence

Series – Integral Test

Series – Comparison Test

Alternating Series

Series – Absolute Convergence Test

Series – Ratio Test

Series – Root Test

Series – Strategies

Power Series

Generating Functions

Taylor Series

Maclaurin Series

### Exercise Videos

U-Substitution Method for Indefinite Integrals

U-Substitution Method for Definite Integrals

(Challenging) Area Between Curves

Hi, Thank you for the great videos, they have helped lot! Please could you make available the Sequences and Series videos, since I really need them for my revision, thank you!

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Hi, will there be videos for series and sequences? Thanks for your great videos! Saved me a lot!

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