# 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.

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