Getting started
- Hi! START HERE: Course overview
- Download the Calc 2 formula sheet
- The EVERYTHING download
Integrals - Antiderivatives and indefinite integrals
- Introduction to antiderivatives and indefinite integrals
- Antiderivatives and indefinite integrals
- Indefinite integrals
- Indefinite integrals
- Indefinite integrals
- Properties of integrals
- Properties of integrals
- Find f given f''
- Find f given f''
- Find f given f'''
- Find f given f'''
- Initial value problems
- Initial value problems
- Initial value problems
- Find f given f'' and initial conditions
- Find f given f'' and initial conditions
- BONUS! Extra practice problems. :)
Integrals - Definite integrals
- Introduction to definite integrals
- Definite integrals
- Definite integrals
- Definite integrals
- Area under or enclosed by the graph
- Area under or enclosed by the graph
- Definite integrals of even and odd functions
- Definite integrals of even and odd functions
- Definite integrals of even and odd functions
- BONUS! Extra practice problems. :)
Integrals - Riemann sums
- Introduction to riemann sums
- Summation notation, finding the sum
- Summation notation, finding the sum
- Summation notation, expanding
- Summation notation, expanding
- Summation notation, collapsing
- Summation notation, collapsing
- Riemann sums
- Riemann sums, left endpoints
- Riemann sums, left endpoints
- Riemann sums, right endpoints
- Riemann sums, right endpoints
- Riemann sums, midpoints
- Riemann sums, midpoints
- BONUS! Extra practice problems. :)
Integrals - Other approximation methods
- Introduction to other approximation methods
- Over and underestimation
- Over and underestimation
- Limit process to find area on [a,b]
- Limit process to find area on [a,b]
- Limit process to find area on [-a,a]
- Limit process to find area on [-a,a]
- Trapezoidal rule
- Trapezoidal rule
- Trapezoidal rule
- Simpson's rule
- Simpson's rule
- Simpson's rule
- BONUS! Extra practice problems. :)
Integrals - Error bounds
- Introduction to error bounds
- Error bounds
- Midpoint rule error bound
- Midpoint rule error bound
- Trapezoidal rule error bound
- Trapezoidal rule error bound
- Simpson's rule error bound
- Simpson's rule error bound
- BONUS! Extra practice problems. :)
Integrals - Fundamental theorem of calculus
- Introduction to fundamental theorem of calculus
- Part 1
- Part 1
- Part 1
- Part 2
- Part 2
- Part 2
- Net change theorem
- Net change theorem
- BONUS! Extra practice problems. :)
Integrals - U-substitution
- Introduction to u-substitution
- U-substitution
- U-substitution
- U-substitution
- U-substitution in definite integrals
- U-substitution in definite integrals
- U-substitution in definite integrals
- BONUS! Extra practice problems. :)
Integrals - Integration by parts
- Introduction to integration by parts
- Integration by parts
- Integration by parts
- Integration by parts
- Integration by parts two times
