x 1 Step 1 Recall the Inverse Substitution Rule where f and g are differentiable...
50.1K
Verified Solution
Link Copied!
Question
Calculus
x 1 Step 1 Recall the Inverse Substitution Rule where f and g are differentiable functions and g is one to one R x dx We are given the following dx 1 2 x x37 2 If f g t g t dt We note that x 1 2 x 1 Therefore the following entry from the Table of Trigonometric Substitutions is appropriate Expression It x a x a sec 8 0 8 or 0 3 2 2 1 2 a Substitution then a Identity sec 0 1 tan 0 Therefore we can let x sec 0 so dx de 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 Further when x 4 8 sec
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!
