Chapter 2: Integration methods

Written Notes

I 2-1: Integration by substitution

I 2-2: Integration by parts, the theory aspects
I 2-3: Integration by parts with two visible factors
I 2-4: Integration by parts with a single visible factor
I2-5: Integration by parts with cycling steps
I 2-6: Reduction formulae through integration by parts
I 2-7: Trigonometric integrals by basic methods
I 2-8: Trigonometric integrals by advanced methods
I 2-9: Integration by inverse substitution by using the sine function
I 2-10:  Integration by inverse substitution by using the secant function
I 2-11:  Integration by inverse substitution by using the tangent function
I 2-12:  Integration by inverse substitution by using hyperbolic functions
I 2-13: Partial fractions: preparation
I 2-14: Partial fractions with non-repeated linear factors
I 2-15: Partial fractions with non-repeated irreducible quadratic factors
I 2-16: Partial fractions, the general case

Videos

Change of variable 1 
Change of variable 2
Integration by parts 1
Integration by parts 2








Trig integrals



Inverse trig substitution 1
Inverse trig substitution 2
Inverse trig substitution 3







Partial fractions 1
Partial fractions 2
Partial fractions 3