First make a substitution and then use integration by parts to evaluate the integral. √r π/2 0³ cos (0²) de The exact value of this integral is +. Write the integers a, b, c, and d as a comma – sepa
First make a substitution and then use integration by parts to evaluate the integral. √r π/2 0³ cos (0²) de The exact value of this integral is +. Write the integers a, b, c, and d as a comma – sepa
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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![First, make a substitution and then use integration by parts to evaluate the integral.
\[
\int_{\sqrt{\pi/2}}^{\sqrt{\pi}} \theta^3 \cos(\theta^2) \, d\theta
\]
The exact value of this integral is
\[
\frac{a}{b} + \frac{c}{d} \pi
\]
Write the integers \( a, b, c, \) and \( d \) as a comma-separated list.
---
[Note: The image also includes a progress bar underneath the text field, indicating partial completion, but has no further relevance to the mathematical content.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8bc9e63a-7125-4962-bfba-843850bd44a1%2F8e401808-029a-4332-be96-6aa370e0c9ca%2Fs8mrs4_processed.png&w=3840&q=75)
Transcribed Image Text:First, make a substitution and then use integration by parts to evaluate the integral.
\[
\int_{\sqrt{\pi/2}}^{\sqrt{\pi}} \theta^3 \cos(\theta^2) \, d\theta
\]
The exact value of this integral is
\[
\frac{a}{b} + \frac{c}{d} \pi
\]
Write the integers \( a, b, c, \) and \( d \) as a comma-separated list.
---
[Note: The image also includes a progress bar underneath the text field, indicating partial completion, but has no further relevance to the mathematical content.]
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