Question

1. If f(x) = ∫10/x t^3 dt then: f′(x)= ? and f′(6)= ?

2. If f(x)=∫x^2/1 t^3dt t then f′(x)= ?

3. If f(x)=∫x3/−4 sqrt(t^2+2)dt then f′(x)= ?

4. Use part I of the Fundamental Theorem of Calculus to find the derivative of h(x)=∫sin(x)/−2 (cos(t^3)+t)dt. what is h′(x)= ?

5. Find the derivative of the following function: F(x)=∫1/sqrt(x) s^2/ (1+ 5s^4) ds using the appropriate form of the Fundamental Theorem of Calculus.
F′(x)= ?

6. Find the definitive integral: ∫8/5 (d/dt sqrt(2+3t^4)) dt

Answer 1