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If int0^af(2a-x)dx=m and int0^af(x)dx=n,...

If `int_0^af(2a-x)dx=m and int_0^af(x)dx=n,` then `int_0^(2a) f(x) dx` is equal to

A

`2lambda-mu`

B

`lambda+mu`

C

`mu-lambda`

D

`lambda-2mu`

Text Solution

Verified by Experts

The correct Answer is:
B
Using properties of definite integral
` int _(0)^(2a) f(x) dx = int _(0)^(a) f(x) dx + int _(0)^(a) f(2a - x) dx `
` rArr int _(0)^(2a) f(x) dx = lambda +mu`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DEFINITE INTEGRALS-MHT CET Corner
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