d /7+t*dt dx'5

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
The image depicts the derivative of an integral with respect to \( x \). The expression is:

\[
\frac{d}{dx} \int_{5}^{x} \sqrt[3]{7 + t^2} \, dt
\]

This illustrates a classic application of the Fundamental Theorem of Calculus. The expression describes the differentiation of an integral where the upper limit is \( x \) and the integrand is a cube root function of \( t \).
Transcribed Image Text:The image depicts the derivative of an integral with respect to \( x \). The expression is: \[ \frac{d}{dx} \int_{5}^{x} \sqrt[3]{7 + t^2} \, dt \] This illustrates a classic application of the Fundamental Theorem of Calculus. The expression describes the differentiation of an integral where the upper limit is \( x \) and the integrand is a cube root function of \( t \).
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