Evaluate the indefinite integral S 16 (49 - x2) 19/2 dx

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...
Question
**Evaluate the Indefinite Integral**

\[ 
\int \frac{x^{16}}{(49 - x^2)^{19/2}} \, dx 
\]

In this expression, we are tasked with evaluating the indefinite integral. The integrand consists of a fraction where the numerator is \(x^{16}\) and the denominator is \((49 - x^2)^{19/2}\). This problem likely involves techniques from integral calculus such as substitution or integration by parts.
Transcribed Image Text:**Evaluate the Indefinite Integral** \[ \int \frac{x^{16}}{(49 - x^2)^{19/2}} \, dx \] In this expression, we are tasked with evaluating the indefinite integral. The integrand consists of a fraction where the numerator is \(x^{16}\) and the denominator is \((49 - x^2)^{19/2}\). This problem likely involves techniques from integral calculus such as substitution or integration by parts.
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