Transcription of G.1 Differentiation and Integration Formulas - …
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G.1 Differentiation and Integration Formulas - …
Appendix Differentiation and Integration FormulasG1 Use Differentiation and Integration tables to supplement Differentiation and Integration FormulasForms Involving Involving 1u a bu du 1a ln ua bu Cn 1, 2, 3 a2 n 1 a bu n 1 C, u2 a bu n du 1b3 1 n 3 a bu n 3 2a n 2 a bu n 2 u2 a bu 3 du 1b3 2aa bu a22 a bu 2 ln a bu C u2 a bu 2 du 1b3 bu a2a bu 2a ln a bu C u2a bu du 1b3 bu2 2a bu a2 ln a bu Cn 1, 2 u a bu n du 1b2 1 n 2 a bu n 2 a n 1 a bu n 1 C, u a bu 2 du 1b2 aa bu ln a bu C ua bu du 1b2 bu a ln a bu Ca bu 1u du ln u Cn 1 un du un 1n 1 C,unddx csc u csc u cot u u ddx sec u sec u tan u u ddx cot u csc2 u u ddx tan u sec2 u u ddx cos u sin u u ddx sin u cos u u ddx eu euu ddx ln u u uddx x 1ddx un nun 1u ddx c 0ddx uv vu uv v2ddx uv uv vu ddx u v u v ddx cu cu Differentiation and Integration 12/27/11 1:47 PM Page G1 Integration Formulas (continued) Involving Involving Involving 1u u2 a2 du 1a ln a u2 a2u C 1 u2 a2 du ln u u2 a2 C u2 a2u2 du u2 a2u ln u u2 a2 C u2 a2u du u2 a2 a ln a u2 a2u C u2 u2 a2 du 18 u 2u2 a2 u2 a2 a4 ln u u2 a2 C u2 a2 du 12 u u2 a2 a2 ln u u2 a2 C u2 a2, a>0n 1 1 u2 a2 n du 12a2 n 1 u u2 a2 n 1 2n 3 1 u2 a2 n 1 du , 1u2 a2 du 1a2 u2 du 12a ln u au a Cu2 a2, a>0 un a bu du 2 2n 1 b un a bu na un 1 a bu du u a bu du 2 2a bu 3b2 a bu Cn 1 a buun du 1a n 1 a bu 3 2un 1 2n 5 b2 a buun 1 du , a buu du 2 a bu a 1u a bu
Appendix G.2 Formulas from Business and Finance G5 Summary of business and finance formulas Formulas from Business Basic Terms number of units produced (or sold) price per unit total revenue from selling units total cost of producing units
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