az Consider the integral /= f(6x + 3x²)dx: Approximate I with the values Q, and Q₂ obtained from Cavalieri-Simpson initially applied over the full interval and then over two equal sub-intervals. Approximates then / using Richardson's extrapolation (R); Approximate I with the value T₁ obtained from the trapezoidal rule with n = 4 equal subdivisions of the integration interval; estimate un upper bound (theoretical) Emax of the error made using the trapezoidal rule; pute / analytically and the exact errors F F

Q: * +(x) = 3x6-4 (x-k)² +17, the value of the parameter k for f(x) to be a function pair IS?

A: For f(x) to be a function pair  it needs to be one-to-one, which means that each input value must…

Q: Find the indefinite integral for the function S (8y-9)-6 dy S (8y-S 9)-6 dy

A:

Q: a) 1 – tan e² xp- 5) //2+9x²dr c) (x² – 6x + 10)² dr |z' In zdr x' In V64 - a -dr e)

A: Here is the solution

Q: Use integration by parts to compute the integral S xsin(4x)dx and Inx dx

A:

Q: Before integrating, how would you rewrite the integrand of S(x* + 2)² dx?

A: To solve: ∫(x4+2)2dx

Q: Find the average value of the function over the given interval. y= x^2-2x+3; [0,7] show all work

A:

Q: 2. Which definite integral approximation formula is f(x) dx = Left rectangles Right rectangles…

A: The given formula is;  Integration of f(x) , limit from a to b = (b-a) /n [y0+y1+y2+y3+...+yn-1].

Q: S da x(1+x)

A: