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Evaluate the integral using the given substitution. Sx4x5 -s;² dx , u =x5 -8 * - 8) + C

Evaluate the integral using the given substitution. Sx4x5 -s;² dx , u =x5 -8 * - 8) + C

Calculus: Early Transcendentals
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:** Evaluate the integral using the given substitution. \[ \int x^4 (x^5 - 8)^2 \, dx, \quad u = x^5 - 8 \] **Answer Choices:** - \( \frac{1}{15} x^{15} - 8 + C \) - \( \frac{1}{15} (x^5 - 8)^3 + C \) - \( \frac{1}{5} (x^5 - 8)^3 + C \) - \( \frac{1}{3} (x^5 - 8)^3 + C \)
Transcribed Image Text:**Problem Statement:** Evaluate the integral using the given substitution. \[ \int x^4 (x^5 - 8)^2 \, dx, \quad u = x^5 - 8 \] **Answer Choices:** - \( \frac{1}{15} x^{15} - 8 + C \) - \( \frac{1}{15} (x^5 - 8)^3 + C \) - \( \frac{1}{5} (x^5 - 8)^3 + C \) - \( \frac{1}{3} (x^5 - 8)^3 + C \)
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