Compute the indefinite integral of the following function. r(t) = te'i +t² cos t³j 3 4t 4 k Select the correct choice below and fill in the answer boxes to complete your choice. O A. frt)dt = i + (i+ (k+C i + Oj+()k OB. √r(t)dt =
Compute the indefinite integral of the following function. r(t) = te'i +t² cos t³j 3 4t 4 k Select the correct choice below and fill in the answer boxes to complete your choice. O A. frt)dt = i + (i+ (k+C i + Oj+()k OB. √r(t)dt =
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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![**Compute the Indefinite Integral of the Following Function**
Given function:
\[ \mathbf{r}(t) = t e^{t} \mathbf{i} + t^2 \cos t^3 \mathbf{j} - \frac{4t^3}{\sqrt{t^4 + 4}} \mathbf{k} \]
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**Select the correct choice below and fill in the answer boxes to complete your choice.**
**A.** \(\int \mathbf{r}(t) \, dt = (\text{\_\_}) \mathbf{i} + (\text{\_\_}) \mathbf{j} + (\text{\_\_}) \mathbf{k} + C\)
**B.** \(\int \mathbf{r}(t) \, dt = (\text{\_\_}) \mathbf{i} + (\text{\_\_}) \mathbf{j} + (\text{\_\_}) \mathbf{k}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14ca10a7-9a5a-4024-afbf-f0f142f43830%2Ffcf416a6-690e-4d6a-a5ab-520a32bc1b8a%2Fzrr5iyj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Compute the Indefinite Integral of the Following Function**
Given function:
\[ \mathbf{r}(t) = t e^{t} \mathbf{i} + t^2 \cos t^3 \mathbf{j} - \frac{4t^3}{\sqrt{t^4 + 4}} \mathbf{k} \]
---
**Select the correct choice below and fill in the answer boxes to complete your choice.**
**A.** \(\int \mathbf{r}(t) \, dt = (\text{\_\_}) \mathbf{i} + (\text{\_\_}) \mathbf{j} + (\text{\_\_}) \mathbf{k} + C\)
**B.** \(\int \mathbf{r}(t) \, dt = (\text{\_\_}) \mathbf{i} + (\text{\_\_}) \mathbf{j} + (\text{\_\_}) \mathbf{k}\)
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