AP Calc Unit 7 Review

If something like 2x/x² +1

use u-substitution

if it is like dx/x²+1

use trig rules

if it is like (3x-5)/(x²+1)

separate into 2 integrals (two fractions), then use u-substitution and trig rules to solve

when numerator x^n is greater than the denominator, like 2x³-5/x²+1

use long division

SIC

separate, integrate, solve for “c”

moving all x’s and all y’s to one side

separate

f(b(x)) * b’(x) - f(a(x)) *a’(x)

FTOC Part 2