Q. 434.0( 2 Votes )

If f is an integr

Answer :

Using interval addition property of integration, we know that



So L.H.S can be written as,



Let us assume x = 2a – t


Differentiating it we get,


dx = – dt


from above assumption


when x = 2a t = 0


and when x = a t = a


substituting above assumptions in L.H.S



Using the property of integration



Using integration property



Substituting above value in equation 1



Now using the property



Since, f(2a – x) = f(x)




Hence proved.


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