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### 10 Cards in this Set

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 What's the word that we use to determine u in the substitution by parts integration. LIATE Log Inverse Algebraic Trig Exponential What's the formula for Integration by Parts uv - I{ vdu If given ∫f(x) from a to b, what is an approximation? If the function is increasing,the integral lies between (b-a)*f(a) and (b-a)*f(b). If decreasing, it is the opposite. Which is absolute value, displacement or distance traveled? Distance traveled. Displacement is the current position. tan^2(x) = ? sec^2(x) - 1 What is the derivative of secx and tanx respectively? sec(x) = sec(x)*tan(x) tan(x) = sec^2(x) What are the derivatives of csc(x) and cot(x) respectiviely? csc(x) = -csc(x)*cot(x) cot(x) = -csc^2(x) ∫tan(u)du = ln| sec(u) | + C ∫cot(u)du = ln| sin(u) | + C ∫sec(u)du = ∫csc(u)du = ln| sec(u) + tan(u) | + C ln| csc(u) - cot(u) | + C