The area bounded by the curves y - x2 and y - 21-x2 is - sq- units- Then the value of - - is where - denotes the greatest integer function

Bounded area =∫_ 1^1 (21+x^2 x^2 )dx = 2 ∫_ 1^1 (21+x^2 x^2 )dx = 2 (2 tan^ 1x x^33 )^1_0 =2 (π2 13 ) = π 23 ∴ [ π 23 ] = 2 ...

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Differentiation under Integral Sign

The area boun...

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The area bounded by the curves $y = x^{2}$ and $y = \frac{2}{1 + x^{2}}$ is $λ$ sq. units. Then the value of $[λ]$ is $($ where $[.]$ denotes the greatest integer function $)$

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