Let the slope of the tangent to a curve {\y}= {\f}( {\x}) at ( {\x}, {\y}) be given by 2 \tan x(\cos x-y). If the curve passes through the point (\frac{\pi}{4}, 0), then the value of \int_0^{\pi \/ 2} y d x is equal to: [28-Jun-2022-Shift-2]

(2-\sqrt{2})+\frac{\pi}\sqrt{2}

(2+\sqrt{2})+\frac{\pi}\sqrt{2}

JEE Main 28 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 11 of 90

Marks: +1, -0

Let the slope of the tangent to a curve y=f(x) at (x,y) be given by 2‌tan‌x(cos‌x−y). If the curve passes through the point (‌

,0), then the value of

∫

π∕2ydx is equal to:

[28-Jun-2022-Shift-2]

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