tanx/2
x tan 1/2 x
cot x/2
x cot 1/2 x
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
2x tan-1 x - log (1+x2) + C
2 [x tan-1 x - log (1+x2) + C.
2 x tan-1x + log (1+x2) + C
2[ tan-1 + log (1+x2)] + C
∫cos √x dx =
2(√x sin√x + cos √x)
2(√xsin √x - cos√x)
√x sin √x - cos √x
None of these
∫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)]
∫√x . e√x dx =
2 √x - e√x - 4 √xe√x + c
(2x - 4 √x + 4) e √x + C
(1-4√x)e√x
(1+4√x)√x
cos (ex)
-cos (ex)
cos cx)-1
sinex
