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

Appendix G.1 Differentiation and Integration Formulas G1 Use differentiation and integration tables to supplement differentiation and integration techniques. ...

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