MAT136H1 Lecture 5: MAT136- Lecture 5

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: Roberta Iseppi

Document Summary

5 focus : constructing anti derivatives analytically: 2 recall that. F is an anti derivative of then the infinite. C is a constant family of derivatives is given by functions of the type theorem : Hfxl f g - f) x its derivative is. = g" ex ) - ft i x ) H "re ) for some point c a. F " f c is a constant hence fab frxldx = number fffxldx = infinite family of functions to select. I anti derivative impose passage by a point recall that the. , to compute a definite integral we can look for an anti derivative. F of the function f and then frxldx. Fib ) - ffa ) in other words the. * k is a constant flhdx = . b. = ex tf cosfxldx sink ) t c" sink. + c the indefinite integral satisfies sum difference of anti derivatives fffrxltgrx. d. de/=ffrxldxt/gfxldxconsya. nr derivative anti times an f cffxldx.