Give a brief reason why the function is increasing at those points of where and…

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

Give a brief reason why the function F(x)=∫axf(t) dtF(x)=\int_a^x f(t)\,dt is increasing at those points of xx where f(x)>0f(x)>0 and decreasing where f(x)<0f(x)<0, assuming ff is continuous.

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