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If f(x)=cosx-int0^x(x-t)f(t)dt ,t h e nf...

If `f(x)=cosx-int_0^x(x-t)f(t)dt ,t h e nf^(prime)(x)+f(x)` is equal to `-cosx` (b) `-sinx` `int_0^x(x-t)f(t)dt` (d) 0

A

`-cos x`

B

0

C

`int_(0)^(t)(x-t)f(t)dt`

D

`-int_(0)^(t)(x-t)f(t)dt`

Text Solution

Verified by Experts

The correct Answer is:
D
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