MATH 019 Lecture Notes - Lecture 17: Power Rule, 4Dx

• School: University of Vermont
• Department: Mathematics
• Course: MATH 019
• Professor: Krisan Geary

Document Summary

Fferentiat a- on f ( x ) f" c ) differentiation anti. )= 3 it f c x ) : x3tc indefinite integral constant of integration. Fcx ) is an anti derivative of fcx ) F" ( x ) f cx ) we denote the indefinite f- c x ) as integral / anti derivative of. I integral sign us is the variable of integration. Ix ? t c a function whose derivative is. Sx3dx=fx4 + c fxndx = reciprical of new power. Rule : fxndx = htt x htt t c for all n t. Rule : fkdx = k x t c where k is any constant fe dx=e tc fxtdx lnlxltc or. Examples : a) fl 2 5-3 2 t 1) dx - = bet c f ( - ,)dx = sfxtdx - 35 -4 dx = sin. = 5 in i x i t x. 2) ( x t 3) dx = fcx 3+3 2 -