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Question

# Assertion :If n>1 then ∫∞0dx1+xn=∫10dx(1−xn)1/n Reason: ∫baf(x)dx=∫baf(a+b−x)dx

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution

## The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for AssertionGiven : If (n>1)∫∞0dx(1+xn)=∫10dx(1−xn)1n∫baf(x)dx=∫baf(a+b−x)dxBoth assertion and reason are correct but reason is not a correct explanation for assertion.

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