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if f(t) is an odd function,then prove that 0 x ∫f(t) dt is an even function.

if f(t) is an odd function,then prove that  
 
0x∫f(t) dt  is an even function.

Grade:11

1 Answers

Amit
405 Points
3 years ago
Hi there. You can check this by replacing t-> -y... Now consider no. Of - sign that will come... One will come from derivative of t,, other will come from function as this is an odd function.. Hence net it would be positive ... Therefore no change by replacing t by -t... Hence even...

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