List of top Mathematics Questions on integral asked in IIITH UGEE

If \( f(x) = \displaystyle \int e^x \left(\frac{x^2 + x + 1}{\sqrt{x^2 + 1}}\right) dx \) such that the value of the function is \(1\) when \(x\) vanishes, find the value of \(f(1)\).