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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Simplify the following
![The image contains a mathematical expression for the derivative of an integral. It is presented as follows:
\[
\frac{d}{dz} \int_{\sin z}^{10} \frac{dt}{t^4 + 1}
\]
This expression involves the differentiation of an integral with respect to \( z \). The integral is evaluated from a variable lower limit of \(\sin z\) to an upper limit of 10. The integrand is \( \frac{1}{t^4 + 1} \).
This is a classic example of applying the Fundamental Theorem of Calculus, particularly when dealing with variable limits of integration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafc613be-7d86-4fc7-875f-926e475289ca%2F262a77b5-50f0-459d-bb47-a00911535cff%2F3n8ltew_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a mathematical expression for the derivative of an integral. It is presented as follows:
\[
\frac{d}{dz} \int_{\sin z}^{10} \frac{dt}{t^4 + 1}
\]
This expression involves the differentiation of an integral with respect to \( z \). The integral is evaluated from a variable lower limit of \(\sin z\) to an upper limit of 10. The integrand is \( \frac{1}{t^4 + 1} \).
This is a classic example of applying the Fundamental Theorem of Calculus, particularly when dealing with variable limits of integration.
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