Q12·Section II (Mathematics)·12 of 190Differentiating a self-mirrored integral identity forces f≡0f\equiv0f≡0Let f:[0,1]→Rf:[0,1]\to\mathbb{R}f:[0,1]→R be continuous and ∫0xf=∫x1f\int_0^xf=\int_x^1f∫0xf=∫x1f for all x∈[0,1]x\in[0,1]x∈[0,1]. Then: OptionsAfff is strictly monotonicBfff is constantCf(t)=tf(t)=tf(t)=t for all t∈[0,1]t\in[0,1]t∈[0,1]Df(t)=t2f(t)=t^2f(t)=t2 for all t∈[0,1]t\in[0,1]t∈[0,1]Pick an option to check your answer.Show answerShow solution Report a problem with this question← Q11All questionsQ13 →Keyboard: A–D answer · S solution · ←/→ previous/next