Let f(x, y, z) = (5ex sin(y))i + (5ex cos(y))j + 7z2k. evaluate the integral c f · ds, where c(t) = 8 t , t3, exp( t ) , 0 ≤ t ≤ 1. (note that exp(u) = eu.)

I'm going to assume this reads

and the path is parameterized by

with . Under this parameterization,

and

Then in the integral,

(It's unlikely that an exact answer can be found in terms of elementary functions)

the first question mark is 6 and the second question mark is 26 (the square root)

step-by-step explanation: