Integration techniques
Trigonometric substitution, partial fractions, powers of sine and cosine and improper integrals
The Integration techniques unit belongs to the Section 9 section of Math Mental and has 15 lessons: trigonometric substitution, partial fractions, powers of sine and cosine and improper integrals.
Lessons in this unit
- Substitution x = a·sin θ
- Substitution x = a·tan θ
- Area of a quarter circle
- Partial fractions: distinct factors
- Partial fractions: repeated factor
- Partial fractions in a definite integral
- Practice: trigonometric substitution and partial fractions
- Odd power of sine and cosine
- Half angle: sin² and cos²
- Powers in a definite integral
- Improper integral of 1/xᵖ
- Improper integral with an exponential
- Converges or diverges?
- Review: integration techniques
- Unit test
This unit in numbers
12 lessons, 2 practices, and 1 test, with 128 questions in total.
It starts with “Substitution x = a·sin θ” and ends with “Converges or diverges?”.
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