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Equation of Tangent at a Point (x,y) in Terms of f'(x)

The area boun...

Question

The area bounded by the curve $y = {sin}^{- 1} x$ and the lines $x = 0, | y | = \frac{π}{2}$ is:

2

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4

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Solution

The correct option is A $2$
$y = {sin}^{- 1} x$ and the lines $x = 0, | y | = \frac{π}{2}$
$π / 2 \int 0 2 sin y d y$
$= 2 π / 2 \int 0 sin y d y$
$= - 2 [0 - 1]$
$2 s q u n i t s .$

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