No computational aids required!
Calculus
Level
5
Let \(f : [0,1] \to \mathbb{R} \) be a function defined as follows: \[\large f(x) = 10 x^{\sin x + \cos x} \]
Enter the value of the following expression:
\[ \left \lfloor \int_0^1 f(x) \, dx\right \rfloor\]
Details and Assumptions:
- \(\lfloor \cdot \rfloor\) denotes the floor function.
- This question is meant to be done without computational aids.
Source: CMI enterance examination.
by
Deeparaj Bhat