Recall that the constant term, C, cancels out when evaluating a definite integral and therefore, the C is traditionally omitted in the calculations. Evaluate the definite integral. [².500 1 dx = -25X-2/ 600 1/5 = F 50x³dx (x ) - F(-/-)
Recall that the constant term, C, cancels out when evaluating a definite integral and therefore, the C is traditionally omitted in the calculations. Evaluate the definite integral. [².500 1 dx = -25X-2/ 600 1/5 = F 50x³dx (x ) - F(-/-)
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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![Recall that the constant term, C, cancels out when evaluating a definite integral and therefore, the C is traditionally omitted in the calculations.
Evaluate the definite integral.
\[
\int_{1/5}^{1} \frac{50}{x^3} \, dx = \left. -25x^{-2} \right|_{1/5}^{1}
\]
\[
= F\left(\underline{\,\,\,50x^3 \,\,\,}\right) - F\left(\frac{1}{5}\right)
\]
The first part of the evaluation has an error, indicated by a red cross.
\[
= \underline{\,\,\,600\,\,\,}
\]
The boxed number "600" is marked with a green check, suggesting it is correct.
This example demonstrates calculating a definite integral, emphasizing where mistakes may occur, and confirming correct answers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2065d956-6c8d-4dd3-a865-df08e0123eae%2Fbb9b018b-8d44-425e-8bd1-f7ff07af4e59%2Fn1cwmnh_processed.png&w=3840&q=75)
Transcribed Image Text:Recall that the constant term, C, cancels out when evaluating a definite integral and therefore, the C is traditionally omitted in the calculations.
Evaluate the definite integral.
\[
\int_{1/5}^{1} \frac{50}{x^3} \, dx = \left. -25x^{-2} \right|_{1/5}^{1}
\]
\[
= F\left(\underline{\,\,\,50x^3 \,\,\,}\right) - F\left(\frac{1}{5}\right)
\]
The first part of the evaluation has an error, indicated by a red cross.
\[
= \underline{\,\,\,600\,\,\,}
\]
The boxed number "600" is marked with a green check, suggesting it is correct.
This example demonstrates calculating a definite integral, emphasizing where mistakes may occur, and confirming correct answers.
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