Question

If f(x) = Integral from 1 to x² square root of t squared plus three

What type of function is defined by the given expression f(x) = ∫[1 to x²] √(t² + 3) dt?

A) Derivative Function
B) Exponential Function
C) Logarithmic Function
D) Integral Function

Answer 1

The function f(x) = ∫[1 to x²] √(t² + 3) dt represents an Integral Function.

Step-by-step explanation:

The function f(x) = ∫1 to x² √(t² + 3) dt represents an Integral Function.

This is because the function is defined as the integral of a function with respect to x (x² in this case), which gives us the accumulated area between the graph of the function and the x-axis.

Therefore, the answer is D) Integral Function.