8. Evaluate the definite integral. a. 6 e² + 18 e² + 18z dz

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 contains a mathematical problem related to evaluating definite integrals. It consists of two parts:

8. Evaluate the definite integral.

a.  
\[
\int_{0}^{1} \frac{e^z + 18}{e^z + 18z} \, dz
\]

b.  
\[
\int_{e^{16}}^{e^{49}} \frac{dx}{x \sqrt{\ln x}}
\]

Each integral is represented with limits and involves exponential and logarithmic expressions. There are no graphs or diagrams accompanying the equations.
Transcribed Image Text:The image contains a mathematical problem related to evaluating definite integrals. It consists of two parts: 8. Evaluate the definite integral. a. \[ \int_{0}^{1} \frac{e^z + 18}{e^z + 18z} \, dz \] b. \[ \int_{e^{16}}^{e^{49}} \frac{dx}{x \sqrt{\ln x}} \] Each integral is represented with limits and involves exponential and logarithmic expressions. There are no graphs or diagrams accompanying the equations.
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