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###### Anku posted an Question
October 12, 2021 • 07:35 am 30 points
• IIT JAM
• Mathematics (MA)

## How to check for option b ...pls once show steps..

how to check for option b ...pls once show steps... . . . . . .. . . . . . . . . . . . .

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• ##### Navdeep goyal 1

if premitive of given function is continus and differential then f is integral

• ##### Navdeep goyal 1 Best Answer

antiderivative means indefinite integration every continues fun is integral f(x) is not continues at x=0 therefor f is not integral on [-1,1]

sir suppose f is not differentiable at some point then also its anti derivative won't exist??..

sir this function is not continuous yet it has primitive..so how u concluded above sir that f(x) is not continues at x=0 therefor f is not integral on [-1,1]

f(x) =|xl then f'(x)=x/|x| which does not exist at x=0 but its antiderivative is |x|

f(x)=sin(1/x) is not continues at x=0 and not antiderivative exist of f(x)

g(x) is continus in ur example but f(x) is not

in ur ex g(x) is premitive of f(x) which is continus

got it now sir..

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