Josephood7

Use the Fundamental Theorem of Calculus to evaluate (if it exists)

If the integral does not exist, type "DNE" as your answer.

Use the Fundamental Theorem of Calculus to evaluate (if it exists)

If the integral does not exist, type "DNE" as your answer.

Use the Fundamental Theorem of Calculus to evaluate (if it exists)

If the integral does not exist, type "DNE" as your answer.

Find the derivative of the following function

using the Fundamental Theorem of Calculus.
F′(x)F′(x) = 

Let A(x)=∫x0f(t)dtA(x)=∫0xf(t)dt, with f(x)f(x) as in figure.

A(x)A(x) has a local minimum on (0,6)(0,6) at x=x= 
A(x)A(x) has a local maximum on (0,6)(0,6) at x=x=

 Compute the following limit. Use INF to denote ∞∞ and MINF to denote −∞−∞.

limx→0x∫x2x216−7t3−−−−−−−−√3dtlimx→0x∫xx2216−7t33dt =

Find a function ff and a number aa such that

Hint: f(x)=f(x)=