Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. calculus
  3. we note that x 1 3 2 x 1 therefore the following e

We note that x 1 3 2 x 1 Therefore the following entry from the...

90.2K

Verified Solution

Question

Calculus

image

We note that x 1 3 2 x 1 Therefore the following entry from the Table of Trigonometric Substitutions is appropriate Expression x a If x 1 x a then a 1 Submit x a sec 8 0 0 Substitution dx 12 12 X17 2 100 0 S sec 4 sec 8 tan 8 tan 8 0 1 or or 8 2 We also must make a substitution for the limits of integration in the definite integral Since x sec 0 we note that when x 2 0 sec 4 sec 8 tan e de tan 0 Skip you cannot come back sec 4 Jn 3 2 1 Step 2 We have determined that if we let x sec 8 then dx sec 8 tan 8 de on the interval sec 4 Applying the substitution gives us the following result 3 2 de n 3 To evaluate this trigonometric integral we put everything in terms of sin 0 and cos 8 Doing so gives the following result cos 8 Identity sec 0 1 tan 0 Therefore we can let x sec 0 so dx sec 0 tan 0 de tan 8 sec 8 de 3 TL 3 Further when x 4 8 sec 4

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

A car travelling at constant speed passes by a stationary pedestrian as the car driver sounds...

Physics
Q

Design a speed-increasing gear train with a speed ratio of SPR defined below: Speed ration = 13 The...

Mechanical Engineering
Q

Volume Charge Filled in a Capacitor A parallel plate capacitor filled with a uniform volume...

Physics
Q

2 Use the Ratio Test to determine if n 1 n n 2 n 32n...

Algebra
Q

The tral balance for Benner...

Accounting
Q

for this discussion thread list 3 symptoms of fraud, as discussed in our chapter 5...

Accounting
Q

Bob and Betty have a partnership that owns 18 clothing stores located in various states...

Accounting
Q

Oldham Inc. conducts business in State M and State N, which both use...

Accounting
Q

URGENT HELP Reynoso Corporation manufactures titanium and aluminum tennis racquets. Reynoso's total overhead costs consist...

Accounting
Q

Bruno Corporation is involved in the business of injection molding of plastics. It is considering...

Accounting
Q

Statement of Owner's Equity Financial information related to Lost Trail Company, a proprietorship, for the...

Accounting
Q

Question 3 The extracted income statement and comparative statements of financial position for WII Pte...

Accounting