Let the slope of the |Differential Equations

JEE MAIN 2022

28-06-22 S2

Question

Let the slope of the tangent to a curve $y=f(x)$ at $(x, y)$ be given by $2 \tan (\cos x-y)$. if the curve passes through the point $\left(\frac{\pi}{4}, 0\right)$, then the value of $\int_0^{\pi / 2} y d x$ is equal to

Select the correct option:

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

$2-\frac{\pi}{\sqrt{2}}$

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

$2+\frac{\pi}{\sqrt{2}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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