Write an integral in the form A = S f(s) ds such that A expresses the change in the area of the surface of a cube when its side length, s, increases from 5 units to 12 units. Evaluate the integral to find the change in surface area. b a = 5 b= 12 f(s) = Change in surface area = 714

Q: Graph the integrand and use geometry to evaluate the integral. 6 2) s V36 - x2 dx -6

A:

Q: Find the most general antiderivative or indefinite integral. csc 30 de csc 30 - sin 30

A: The objective is to evaluate the integral.

Q: Integrate using an appropriate formula from the table of integrals. State the formula number, u and…

A: Given:indefinite integral To find:Evaluate the integral

Q: v(t) 0. -5 -10 T 2.

A:

Q: Find the area enclosed by one leaf of the rose r= 5 Cos (10)

A: Solution of given question is followed by

Q: dx (2x + 3)(1–x) 1. a) Integral Number in the attached Table: b) Values of the constants: a = b = c)…

A:

Q: Evaluate the integral: 16 2 +1 dx. Vt 4 Round your answer to the nearest tenth.

A: Solve by the process shown below. Try to substitute suitable value to get the integral.

Q: 3ry dy dr, V16 z 3

A:

Q: Evaluate the integral √² (²2/1 + ²)² = 24 dr= 24 7 dr.

A:

Q: Compute the integral of f(x, y) = 4xy over the region D = {(x, y) | 1 0, y 2 x} Select one: O a. 3…

A: Concept:

Q: Use Fundamental Theorem of Calculus to find the shaded area R.  Note: Area is always positive. You…

A: Given: The shaded area R is as follows;

Q: Evaluate the integral / 87 dr. Answer:

A: ∫axdx=axln(a)+C, a>0, a≠1