Test Review

# Test Review - • R π 3 4 sec u tan udu • R 4 9 1-√ t...

This preview shows pages 1–2. Sign up to view the full content.

MATH 1206 Test 1 Review 1. Explain how to calculate upper and lower sums of a function f on an interval [ a,b ] using n subintervals. 2. Approximate the area under f ( x ) = | x | on the interval [ - 3 , 2] using 5 subintervals and an upper sum. Could you ﬁnd the exact value of the area under f ( x ) = | x | on [ - 3 , 2]? If so, ﬁnd it. 3. Express R 6 - 1 3 x 3 ln xdx as a limit of a Riemann sum where P is a partition of [ - 1 , 6]. 4. If R 2 - 2 3 f ( x ) dx = 12,and R 5 - 2 f ( x ) dx = 6 ﬁnd: R 2 - 2 f ( x ) dx R 3 3 f ( x ) dx R 5 2 f ( x ) dx 5. State the fundamental theorem of calculus part 1. 6. State the fundamental theorem of calculus part 2. 7. Evaluate the following integrals:

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: • R π/ 3 4 sec u tan udu • R 4 9 1-√ t √ t dt • R 2 1 ( 1 x-e-x ) dx 8. If f ( x ) = R 2-x 3 ( t 4-2 t + lnt ) dt ﬁnd f ( x ). 9. What type of integral do we need to use substitution for? Explain the steps for both indeﬁnite integrals and deﬁnite integrals. 10. Evaluate the following integrals: • R tan 7 x 2 sec 2 x 2 dx • R √ tan-1 x 1+ x 2 dx • R 4 2 dx x ln x 11. If d 3 r dt 3 =-cos t and r 00 (0) = r (0) = 0 and r (0) = 1, ﬁnd r ( t )....
View Full Document

## This note was uploaded on 10/02/2011 for the course MATH 2214 at Virginia Tech.

### Page1 / 2

Test Review - • R π 3 4 sec u tan udu • R 4 9 1-√ t...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online