1-10 - Calculus Let f be a continuous function on a b 1 The...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
January 10, 2005 Announcements Assigned reading for this week: § 5.3, 5.4 and 5.5 Homework #1 (Week 1 Problems) will be collected tomorrow, Tuesday, January 11 (Covers § 4.10, 5.1 and 5.2; see web for assignment) Today: § 5.3 The Fundamental Theorem of Calculus What is the relationship between differentiation and integration? The fundamental Theorem of Calculus Some applications 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
The Fundamental Theorem of
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Calculus Let f be a continuous function on [ a, b ]. 1. The function defined by g ( x ) = Z x a f ( t ) dt is continuous on [ a, b ] and differen-tiable on ( a, b ). Moreover g ( x ) = f ( x ) . 2. If F is any antiderivative of f , i.e F = f in ( a, b ) then Z b a f ( t ) dt = F ( b )-F ( a ) . Find a function f and a number a such that 6 + Z x a f ( t ) t 2 dt = 2 √ x....
View Full Document

{[ snackBarMessage ]}

Page1 / 3

1-10 - Calculus Let f be a continuous function on a b 1 The...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online