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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
1 of 1
Application +4 | -1
Value of ∫2810−xx+10−xdx\int\limits_{2}^8 \frac{\sqrt{10-x}}{\sqrt{x}+\sqrt{10-x}} d x is
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Correct option: A
3
Option A (3) is correct because the definite integral can be solved by using the property ∫abf(x)dx=∫abf(a+b−x)dx\int_a^b f(x) dx = \int_a^b f(a+b-x) dx and adding the two integrals.

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