The anti derivative F of defined by f(x)f(x) = 4x3 - 6, where F(o) = 3 is ___________
x3 - 6x + 3
x2 + 6x + 3
x4 - 6x + 3
x4 - 6 x2 + 3
log (tan x)
cot (log x)
log log (tan x)
tan (log x)
∫cos √x dx =
2(√x sin√x + cos √x)
2(√xsin √x - cos√x)
√x sin √x - cos √x
None of these
Write an anti derivative of cos 2 x.
Sin 2 x
1/2 sin 2 x
2 sin 2 x
Sin2 2 x
2
1
0
-1
∫Sec3x dx =
1/2 [tan x sec x + log (tan x + sec x)]
1/2 [tan x sec x - log (tan x + sec x)]
1/2 [tan x sec x - log (sec x - tan x)]
1/2 [ tan x sec x + log (sec x - tan x)]
x3-1 + c
x2/2 + 1/x + c
x2/2 + C
x2/2 - x + c
x5/3 + C
x5/3 + x + C
5/3 x5/3 + x + c
3/5 x5/3 + x + c