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Interpretation: We take two points on a curve, bring them infinitely close together, and measure the slope of the resulting tangent line.

[ \int_a^b f(x) , dx = F(b) - F(a) ]

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. calculus.mathlife

[ \fracddx \int_a^x f(t) , dt = f(x) ]

To compute a definite integral (total accumulation), evaluate the antiderivative at the endpoints and subtract. Interpretation: We take two points on a curve,