1.

Column I Column 2 Column 3(I)If I=∫2−2(αx3+βx+γ)dx then I is(i)Independent of α(P)dependent on α(II)Let α,β be distinct roots of(ii)Independent of γ(Q)dependent on β the equation tanx = 2x, then γ∫10(sin αx. sin βx)dx is (γ≠0) (III)Iff(x+α)+f(x)=0 where α>0,(iii)Independent of β(R)dependent on γ then∫β+2γαβf(x)dx is, γϵN (IV)γ∫α0 [sin x]dx is;(iv)dependent on α(S)independent of β γ≠0, αϵ[(2β+1)π, (2β+2)π], βϵN,[.]denotes G.I.F. Which of the following combination is incorrect?

Answer»

Column I Column 2 Column 3(I)If I=22(αx3+βx+γ)dx then I is(i)Independent of α(P)dependent on α(II)Let α,β be distinct roots of(ii)Independent of γ(Q)dependent on β the equation tanx = 2x, then γ10(sin αx. sin βx)dx is (γ0) (III)Iff(x+α)+f(x)=0 where α>0,(iii)Independent of β(R)dependent on γ thenβ+2γαβf(x)dx is, γϵN (IV)γα0 [sin x]dx is;(iv)dependent on α(S)independent of β γ0, αϵ[(2β+1)π, (2β+2)π], βϵN,[.]denotes G.I.F.

Which of the following combination is incorrect?




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