JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

\int_0^2\left(\sqrt{2 x}-\sqrt{2 x-x^2}\right) d x=\int_0^1\left(1-\sqrt{1-y^2}-\frac{y^2}{2}\right) d y+

\int_1^2\left(2-\frac{y^2}{2}\right) d y+I

then

I

equal is

View answer and explanation

Correct option: C

\int_0^1\left(1-\sqrt{1-y^2}\right) d y

Option C (

\int_0^1\left(1-\sqrt{1-y^2}\right) d y

) is the correct answer because it results from simplifying and rearranging the given integral equation.

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