Integrate: 1 -dy 36-y y³

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:**

Integrate:

\[
\int \frac{\sqrt{36 - y^4}}{y^3} \, dy
\]

---

**Explanation:**

The integral involves a square root in the numerator and a cubic power in the denominator. This expression can typically be approached using substitution or trigonometric identities to simplify the integration process. The constant \( C \) represents the constant of integration.
Transcribed Image Text:**Problem Statement:** Integrate: \[ \int \frac{\sqrt{36 - y^4}}{y^3} \, dy \] --- **Explanation:** The integral involves a square root in the numerator and a cubic power in the denominator. This expression can typically be approached using substitution or trigonometric identities to simplify the integration process. The constant \( C \) represents the constant of integration.
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