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Let f be a continous function on [a,b] ....

Let f be a continous function on [a,b] . Prove that there exists a number `x in [a, b] ` such that `int _(a) ^(x) f(t) dt = int_(x) ^(b) f(t) dt`.

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The correct Answer is:
`int_(a)^(x) f(t) dt= int _(x)^(b) f(t) dt` for alteast one value of `x in [a,b]`.
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
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