JEE Math Practice Question
Let $f:[0, \infty) \rightarrow \mathbb{R}$ be a differentiable function such that $f(x)=1-2 x+\int_0^x e^{x-t} f(t) d t$ for all $x \in[0, \infty)$. Then the area of the region bounded by $y=f(x)$ and the coordinate axes is
- A.$\sqrt5$
- B.2
- C.$\sqrt2$
- D.$\frac{1}{2}$
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