If g ( x ) = f ( x 1 ) , then area bounded by g ( x ) , x -axis and the lines x = 3 1 and x = 3 is denoted by A (in sq.units). The value of e π 2 A is equal to

A = ∫ x t a n − 1 x d x = 2 π ln 3

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Mathematics - Differential Equation Question with Solution | TestHub

MathematicsDifferential EquationExact DEMedium2 minQB

MathematicsMediuminteger

Passage / Comprehension

Let $y = f (x)$ be the solution of the differential equation:

If $g (x) = f (\frac{1}{x})$ , then area bounded by $g (x), x$ -axis and the lines $x = \frac{1}{3}$ and $x = 3$ is denoted by A (in sq.units). The value of $e^{\frac{2 A}{π}}$ is equal to

Answer:

Solution:

$A = \int \frac{t a n ^{- 1} x}{x} d x = \frac{π}{2} ln 3$

Stream:JEESubject:MathematicsTopic:Differential EquationSubtopic:Exact DE

⏱ 2mℹ️ Source: QB

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