Ex. secxtanx - 4csc2x - 5sec2x dx
Ex. 5x1/2 - 4sinx + 5cosx dx
Ex.
Ex. f(x) =
cosx -1 < x < 0
sinx 0 < x < 1
1
f(x)dx
-1
2
Ex. Given v(t) = 3t - 4t + 6 and s(0) = 9.
a) What is the particle's displacement after 3 seconds?
b) What is the particle's position after 3 seconds?
c)What is the total distance travelled by the particle after 3 seconds?
Ex. Let r(t) be the rate at which the world's oil is consumed, where
t is measured in years starting at t=0 on January 1, 2000, and r(t) is
measured in barrels per year.
What does
3
0
r(t)dt represent?
Ex. The accelearation is given by a(t) = 2t + 3 and the initial
velocity is represented by v(0) = -1. Find the velocity at time t.