and that fxf(x) dx t) dt.

Q: (a) F(3) = (b) F'(3) = (c) F"(3)

A:

Q: Let P(x) dt. Evaluate 2 | P(x)dx. sin

A:

Q: Let g(x) = ſº tº dt. Evaluate: X a) g'(x) b) g' (2)

A: We have to find the derivative.

Q: VE In t dt

A:

Q: tan (Int) dt

A:

Q: Is the function F (x) = L", e“ dt concave (concave down) or convex (concave up) for x<0?

A: To solve the following problem

Q: Let f(x) = sin? (x). Define F(x) | f(t) dt. What is F" -) ?

A:

Q: Let f(x)= (x²e* )/2 for x> 0, and zero otherwise. Show that f(x) is a pdf. b. Find the mean. Hint:…

A: The given function is:

Q: 4x Let F (x) = S dt. Find F" (x). %3D 2+3

A: Given: Fx=∫04xdtt2+3 we know that by fundamental theorem of calculus if gx=∫pxqxfxdx then…

Q: Show that f(t) dt ) dx (x - a)f(x) dx.

A: To prove: ∫ab∫xbftdtdx=∫abx-afxdx