Question

Determine the function g(x) and all the values c such that ∫ˣg(t)dt=x2−10x+16 The function is g(x)= - The values c are such given by: c1​=

Answer 1

To determine the function g(x) and all the values c such that ∫ˣg(t)dt=x²−10x+16, differentiate both sides of the equation, solve for g(x), and substitute values of x to find c.

Step-by-step explanation:

To determine the function g(x) and all the values c such that ∫ˣg(t)dt=x²−10x+16, we need to take the derivative of both sides of the equation. This will give us the function g(x) and the value of c.

1. Differentiate both sides of the equation with respect to x:
2. Solve for g(x) by isolating it on one side of the equation.
3. Now that we have g(x), we can find the values of c that satisfy the equation by substituting different values of x into the equation and solving for c.