Integration with Square Roots

Calculus Level 3

Given that 04x39+x2dx=a\displaystyle \int_0^4 x^3\sqrt{9+x^2} dx = a, what is the value of a\lfloor a \rfloor?

Details and assumptions

Greatest Integer Function: x:RZ\lfloor x \rfloor: \mathbb{R} \rightarrow \mathbb{Z} refers to the greatest integer less than or equal to xx. For example 2.3=2\lfloor 2.3 \rfloor = 2 and 3.4=4\lfloor -3.4 \rfloor = -4.

×

Problem Loading...

Note Loading...

Set Loading...