Chapter 6.3, Problem 33E

x2-3x-28 dx is a minumum. x²+1 (а) Find the interval [a, b] such that х2-3х-28 x2+1 (b) Find the value of the integral dx over the interval [a, b] found in part (a). Ja

Function defined by an integral Let H(x) = S¿V4 - f dt, for -2 sxs 2. a. Evaluate H(0). b. Evaluate H' (1). c. Evaluate H' (2). d. Use geometry to evaluate H(2). e. Find the value of s such that H(x) = sH(-x).

INTEGRAL CALCULUS 1. Find the centroid of the area bounded by the curve y=4-x^2, the line x=1 and the coordinate axes. 2. Evaluate: SS* dzdydx 3. Find the area bounded by the parabolas y=6x-x^2 and y=x^2 -2x. 4. Given the area in the first quadrant bounded by x=8y, the line y-2=D0 and the y-axis, what is the volume generated when the area is revolved about the line y-2=D0? 5. Find the length of arc of a circle x+y* = 25 from x = 4 to x = 2.

Evaluate the intgral using Integrationby parts use Symbolic notationn and fracttions where needed SaxCGo(コ))~dx- 2.

/(2x+y-1)dxdy where area of integration D is a triangle with vertices A(1,1), B(5,3) C(5,5). Find After performing the calculations, swap the order of integration and count the integral again.

(1 point) Calculate the integral: 1 dx = J (x + 8)(x + 4)

How do you express number 62 as a single integral? Thank you

How would I write the integral in the five orders of integration

How do you do 29 both part a and b?