Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. calculus
  3. we also must make a substitution for the limits of

We also must make a substitution for the limits of integration in the definite integral...

90.2K

Verified Solution

Question

Calculus

image

We also must make a substitution for the limits of integration in the definite integral Since x sec 8 we note that when x 2 0 then a 1 Step 2 We have determined that if we let x sec 0 then dx sec 8 tan 8 de on the interval sec 4 sec 0 tan 0 1 3 tan 0 Step 3 So far we have the following rsec 4 sec 8 tan 8 tan 0 dx 1 x x 173 2 1500 Jn 3 To evaluate this trigonometric integral we put everything in terms of sin 8 and cos 0 Doing so gives the following result cos 8 de de sec 4 Jn 3 sec 4 cos 8 Jn 3 sin 0 We can now use the substitution u sin 8 so du de Therefore we can let x sec 0 so dx sin 0 tan 8 V sin 0 de sec 0 tan 0 tan 6 sec 0 de 3 IT 3 sec 4 Applying the substitution gives us the following result de Once more we must also make a substitution for the limits of integration When 8 CI Further when x 4 8 sec Further when soc 4 u

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: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Given the data below for the reaction, 2 A + 2 B + 4 C...

Chemistry
Q

When and how does our immune system discriminate between self and nonself? What are the consequences...

Biology
Q

Write Select one of the following products, goods, or services as the basis for your written assignment: An...

General Management
Q

Read the following list of items: Tennis Bicycling Hershey Coca ColaWhat do all of these...

Biology
Q

There are 1,236 volleyball players at a tournament. The players are divided equally into groups...

Basic Math
Q

Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If...

Basic Math
Q

Analyze the polynomial function f(x) = 5x (x - 9) (x + 4) using parts...

Calculus
Q

Find the degree measure of the given angle with the given radian measure TU 10...

Algebra
Q

Use the following information for Questions 1 through 5. Pilfer Company acquired...

Accounting
Q

Amount desired at end of period: $6,500 Length of time: 9 years Rate: 6% Compounded:...

Accounting
Q

ces ! Required information Use the following information to answer questions. (Static) [The following information...

Accounting
Q

6 (Do Not Open Untll You Are Ready to Complete)

Accounting