Class Notes (837,698)
Mathematics (2,843)
MAT136H1 (782)
all (232)
Lecture

7.7 Approximate Integration Question #3 (Medium)

1 Page
70 Views

Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
7.7 Integral Techniques Integral Approximation Question #3 (Medium): Computing the Error Bounds Sample Question Find the approximation , , and for . Then compute the corresponding errors , , and (answers rounded to 6 decimal places). What observations can you make? And what happens when is doubled? ∫ Solution First evaluate the integral: ∫ * + * + * + Now approximation calculations: For and interval [ ], . The intervals are: * + * + * + * +. Midpoint: ∑ [ ( ̅ ] * ( ) ( ) ( ) ( )+ [ ( ) ( ) ] . Trapezoidal: [ ( ) ( ) ( ) ( )] [ ( ) ( ) ( ) ( ) ( ) ] [ ] . Simpson’s: [ ( ) ( ) ( ) ( ) ( ) ] ( ) [ ] [ ] . Then the error bounds: ∫ ( ) ( ) ( ) ( ) ; ; For and interval [ ],
More Less

Related notes for MAT136H1
Me

OR

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Join to view

OR

By registering, I agree to the Terms and Privacy Policies
Just a few more details

So we can recommend you notes for your school.