Garrett Nunez
01/16/2024 · Primary School

Encuentre el área entre la curva \( f(x)=4 \operatorname{sen}(4 x) \sqrt{2-\cos (4 x) / y} \) el exe \( x \) en \( \left[-\frac{\pi}{2}, 1\right. \)

UpStudy ThothAI Solution

Tutor-Verified Answer

Quick Answer

Para encontrar el área entre la curva \( f(x) = 4 \sin(4x) \sqrt{2 - \cos(4x)} \) y el eje \( x \) en el intervalo \( \left[-\frac{\pi}{2}, 1\right] \), se debe calcular la integral definida de \( f(x) \) en ese intervalo. Se deben considerar los puntos críticos donde \( \sin(4x) \) cambia de signo y se deben calcular las integrales en los intervalos donde \( f(x) \) es positiva. El área total se obtiene sumando las áreas de estos intervalos.

Step-by-step Solution

Elevate Your Learning
Unlock full answers and more with UpStudy Premium
Get AI Assistant
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions