Evaluate the integral.
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) =
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
Evaluate the integral componentwise. Round your answers to two decimal places.
= t2i + t3j + tk