Column IColumn IIa. If I=2∫−2(αx3+βx+γ) dx, then I is p. independent of αb. Let α,β be the distinct positive roots of the equation tanx=2x, then γ1∫0(sinαx⋅sinβx) dx ( where γ≠0) is q. independent of βc. If f(x+α)+f(x)=0, where α>0, then β+2γα∫βf(x) dx, where γ∈N, is r. independent of γs. depends on α Then which of the following is correct ?

Column IColumn IIa. If I=2∫−2(αx3+βx+γ) dx, t

1.	Column IColumn IIa. If I=2∫−2(αx3+βx+γ) dx, then I is p. independent of αb. Let α,β be the distinct positive roots of the equation tanx=2x, then γ1∫0(sinαx⋅sinβx) dx ( where γ≠0) is q. independent of βc. If f(x+α)+f(x)=0, where α>0, then β+2γα∫βf(x) dx, where γ∈N, is r. independent of γs. depends on α Then which of the following is correct ?
Answer» $\begin{matrix} C o l u m n I & C o l u m n I I a. If I = 2 \int - 2 (α x^{3} + β x + γ) d x, then I is & p. independent of α b. Let α, β be the distinct positive roots of the equation tan x = 2 x, then γ 1 \int 0 (sin α x \cdot sin β x) d x (where γ \neq 0) is & q. independent of β c. If f (x + α) + f (x) = 0, where α > 0, then β + 2 γ α \int β f (x) d x, where γ \in N, is & r. independent of γ s. depends on α \end{matrix}$ Then which of the following is correct ?