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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫0λ  y  dyy+λ\int \nolimits_0^\lambda \,\,\frac{{y\,\,dy}}{{\sqrt {y + \lambda } }} is equal to
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Correct option: A
23  (2−2)  λ  λ\frac{2}{3}\,\,\left( {2 - \sqrt 2 } \right)\,\,\lambda \,\,\sqrt \lambda
Option A is correct because after performing the substitution and evaluating the definite integral, the result matches the given expression.

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