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) = $asi + 6s2j + $bk.
x(s) = nc1ItEz0kR4=s
y(s) = yBhAQ+3VvjM=s2
z(s) = iSba6t70dtA=
The integral we need to evaluate is as follows.
Evaluate the definite integral of each component. Round your answers to two decimal places.
SFgqQUkJGdg=t2
XvVM00l89Is=t3
iSba6t70dtA=t
Evaluate the integral componentwise. Round your answers to two decimal places.
= SFgqQUkJGdg=t2i + XvVM00l89Is=t3j + iSba6t70dtA=tk