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← JEE Main 2022 · 30 Jul · Shift 2
MathematicsSingle correct+4 / -1Question 70 of 90

JEE Main 2022 · 30 Jul · Shift 2, Mathematics question 70

If y(x)=tan⁡x−∫02x(x2−xt+1)sin⁡t dty(x)=\tan x-\displaystyle\int_0^{2x}(x^2-xt+1)\sin t\,dt, then at x=π3x=\dfrac\pi3, the value of 2y′′′−y′′2y'''-y'' is equal to

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Official answer: A

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