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1.Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(x)=1/2+2/3x^2-5/6x^3
2.f(x)= 4/5-2/x
3.Find
f.
f.
f ”(t) = 3et + 6 sin t,f(0) = 0,f(π) = 0
4.Find f.
f ”(x) = x−2,x > 0,f(1) = 0,f(6) = 0
5.A particle is moving with the given data. Find the position of the particle.
v(t) = 1.5
,s(25) = 133
 |
t |
6.The linear density of a rod of length 4 m is given by
,
ρ(x) = 6/
|
x |
in grams per centimeter, where
x is measured in centimeters from one end of the rod. Find the mass of the rod.
7.Find
f.
f.
f'(x) =
(3 + 10x),f(1) = 11
|
x |
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