How do I solve this problem without integrals or derivatives?

Question

Find the distance traveled in 14 seconds by an object that is moving with a velocity of v(t) = 11 + 6cos t feet per second.

A. 154.8204
B. 156.1704
C. 159.9436

Answer 1

I don't see any way, other than numerical approximations. The velocity is not a nice linear function, so only an integral can give an exact answer

∫[0,14] (11+6cosx) dx

Answer 2

How do I get the numerical approximations?

Answer 3

Riemann sums, trapezoidal method.

google numerical integration or quadrature