calc_tutorial_13_2_046

 
Problem Statement

{3}
{2}
round(3/2,2)

Evaluate the integral.

 
Step 1

Question Sequence

Question 1

Recall how to componentwise integrate a vector-valued function

r(t) = <x(t), y(t), z(t)> = x(t)i + y(t)j + z(t)k.

Identify the components of the integrand r(s) = 3si + 6s2j + 2k.

x(s) = s

y(s) = s2

z(s) =

Correct.
Incorrect.

 
Step 2

Question Sequence

Question 2

The integral we need to evaluate is as follows.

Evaluate the definite integral of each component. Round your answers to two decimal places.

t2

t3

t

Correct.
Incorrect.

 
Step 3

Question Sequence

Question 3

Evaluate the integral componentwise. Round your answers to two decimal places.

= t2i + t3j + tk

Correct.
Incorrect.