Consider the following statements:
`S_(1)`: The antiderivative of every function is an odd function.
`S_(2)`: Primitive of `(3x^(4)-1)/(x^(4)-x+1)^(2)` w.r.t is `x/(x^(4)+x+1)` +C
`S_(3)`: `int1/(sqrt(sinxcosx))dx = -2/sqrt(tanx)+C`
`S_(4):` The value of `int(sqrt(a+x)/(a-x)-sqrt(a-x)/(a+x))` dx is equal to `-2sqrt(a^(2)-x^(2))+C`
State, in order whether `S_(1),S_(2),S_(3),S_(4)` are true or false
A. FFTT
B. TTTT
C. FFFF
D. TFTF
