[ \int_a^b f(x) , dx = F(b) - F(a) ]
[ \int_a^b f(x) , dx = \lim_n \to \infty \sum_i=1^n f(x_i^*) \Delta x ] calculus.mathlife
Interpretation: We slice the area under a curve into infinitely thin rectangles, sum them up, and get the exact total. [ \int_a^b f(x) , dx = F(b) -
To compute a definite integral (total accumulation), evaluate the antiderivative at the endpoints and subtract. [ \int_a^b f(x)
[ f'(x) = \lim_h \to 0 \fracf(x+h) - f(x)h ]
[ \fracddx \int_a^x f(t) , dt = f(x) ]
Pick a single problem type (e.g., finding velocity from position) and solve 5–10 practice problems. Then move to the next. Mastery comes from doing, not just reading.