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🌟🌟🌟🌟🌟 \"Thank you Krista once again! I love calculus so much. I had to drop out of high school due to some reasons, then I tried to learn calculus as much as I could from books, but I found it difficult. But, now I am so happy that I can learn my favorite subject with an easy explanation with every detail.\"\n

🌟🌟🌟🌟🌟 \"Krista does an excellent job of explaining the smallest details in every example. She never assumes you understood where a number came from. I've learned much more from her than I have my own lecture videos at ASU!\"\n

The curriculum includes:\n

Antiderivatives and indefinite integrals\n\t
1. Indefinite integrals
2. Properties of integrals
3. Find f given f''
4. Find f given f'''
5. Initial value problems
Definite integrals\n\t
1. Definite integrals
2. Area under or enclosed by the graph
3. Definite integrals of even functions and odd functions
Riemann sums\n\t
1. Summation notation, finding the sum, expanding, collapsing
2. Riemann sums with left endpoints, right endpoints, and midpoints
3. Overestimation and underestimation
4. Limit process to find area on [a,b] and [-a,a]
5. Trapezoidal rule
6. Simpson's rule
Error bounds\n\t
1. Midpoint rule error bound
2. Trapezoidal rule error bound
3. Simpson's rule error bound
Fundamental theorem of calculus (FTC)\n\t
1. Part 1 of the FTC
2. Part 2 of the FTC
3. Net change theorem
U-substitution\n\t
1. U-substitution
2. U-substitution in definite integrals
Integration by parts\n\t
1. Integration by parts
2. Integration by parts two times and three times
3. Integration by parts with u-substitution
4. Prove the reduction formula
5. Tabular integration
Partial fractions\n\t
1. Distinct linear factors
2. Distinct quadratic factors
3. Repeated linear factors
4. Repeated quadratic factors
5. Rationalizing substitutions
6. How to factor a difficult denominator
7. Two ways to find the constants
Trigonometric integrals\n\t
1. Trigonometric integrals
2. sin^m cos^n, odd m
3. sin^m cos^n, odd n
4. sin^m cos^n, m and n even
5. tan^m sec^n, odd m
6. tan^m sec^n, even n
7. sin(mx) cos(nx)
8. sin(mx) cos(nx)
9. cos(mx) cos(nx)
Hyperbolic integrals\n\t
1. Hyperbolic integrals
2. Inverse hyperbolic integrals
Trigonometric substitution\n\t
1. Setting up for trig substitution problems
2. Secant substitutions
3. Sine substitutions
4. Tangent substitutions
5. Quadratic functions
Improper integrals\n\t
1. Improper integrals
2. Case 1 [a,infinity)
3. Case 2 (-infinity,b]
4. Case 3 (-infinity,infinity)
5. Case 4 (discontinuity at b)
6. Case 5 (discontinuity at a)
7. Case 6 (discontinuity between a and b)
8. Comparison theorem
Reduction formulas

About the Author
\n

Krista King is a math tutor, online educator, and the creator of KristaKingMath.com. Her YouTube channel has more than 43.5 million views, and her online courses have helped more than 244,000 students.

\"Krista is very very quick to respond. I've had a few questions and I usually didn't have to wait much longer than a day to get an answer. Not only that, but she obviously spent time answering to make sure I understood the content. The only thing that I am disappointed in is that she doesn't have anything after Calc 3!\" - Morgan Gray\n

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Step-by-step videos
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Bonus practice workbooks
Comprehensive formula sheets
Summary study sheets
Practice final exams

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