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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14.23 Please help me answer this math problem.
![**Evaluate the following definite integral.**
\[
\int_{1}^{2} \left( 9t^2 \mathbf{i} + 2t \mathbf{j} + \frac{3}{t} \mathbf{k} \right) \, dt
\]
---
Select the correct choice below and fill in the answer boxes to complete your choice.
- **A.**
\[
\int_{1}^{2} \left( 9t^2 \mathbf{i} + 2t \mathbf{j} + \frac{3}{t} \mathbf{k} \right) \, dt = (\text{[ ]}) \mathbf{i} + (\text{[ ]}) \mathbf{j} + (\text{[ ]}) \mathbf{k}
\]
- **B.**
\[
\int_{1}^{2} \left( 9t^2 \mathbf{i} + 2t \mathbf{j} + \frac{3}{t} \mathbf{k} \right) \, dt = (\text{[ ]}) \mathbf{i} + (\text{[ ]}) \mathbf{j} + (\text{[ ]}) \mathbf{k} + C
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3bd88a3-9d65-41d6-8e96-bcf2f13eb11b%2F2484397d-7421-484a-b18c-d866b752a65f%2F31b96f7_processed.png&w=3840&q=75)
Transcribed Image Text:**Evaluate the following definite integral.**
\[
\int_{1}^{2} \left( 9t^2 \mathbf{i} + 2t \mathbf{j} + \frac{3}{t} \mathbf{k} \right) \, dt
\]
---
Select the correct choice below and fill in the answer boxes to complete your choice.
- **A.**
\[
\int_{1}^{2} \left( 9t^2 \mathbf{i} + 2t \mathbf{j} + \frac{3}{t} \mathbf{k} \right) \, dt = (\text{[ ]}) \mathbf{i} + (\text{[ ]}) \mathbf{j} + (\text{[ ]}) \mathbf{k}
\]
- **B.**
\[
\int_{1}^{2} \left( 9t^2 \mathbf{i} + 2t \mathbf{j} + \frac{3}{t} \mathbf{k} \right) \, dt = (\text{[ ]}) \mathbf{i} + (\text{[ ]}) \mathbf{j} + (\text{[ ]}) \mathbf{k} + C
\]
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