 92.Q1: Differentiate: y = x tan x
 92.Q2: Integrate: x10 dx
 92.Q3: Sketch: y = ex
 92.Q4: Integrate: cos 3x dx
 92.Q5: Differentiate: y = cos 5x sin 5x
 92.Q6: Sketch: y = 2/x
 92.Q7: r(x) = t(x) dx if and only if ?.
 92.Q8: Definition: (x) = ?
 92.Q9: If f(6.2) = 13, f(6.5) = 19, and f(6.8) = 24, then (6.5) ?
 92.Q10: If region R (Figure 92b) is rotated about the line x = c, the volu...
 92.1: For 110, integrate by parts x sin x dx
 92.2: For 110, integrate by parts x cos 3x dx
 92.3: For 110, integrate by parts xe4x dx
 92.4: For 110, integrate by parts 6x e3x dx
 92.5: For 110, integrate by parts (x + 4)e5x dx
 92.6: For 110, integrate by parts (x + 7)e2x d
 92.7: For 110, integrate by parts x3 ln x dx
 92.8: For 110, integrate by parts x5 ln 3x d
 92.9: For 110, integrate by parts x2 ex dx
 92.10: For 110, integrate by parts x2 ex dx
 92.11: Integral of the Natural Logarithm Problem: You can evaluate the int...
 92.12: Rapid Repeated Integration by Parts
Solutions for Chapter 92: Integration by PartsA Way to Integrate Products
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 92: Integration by PartsA Way to Integrate Products
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 22 problems in chapter 92: Integration by PartsA Way to Integrate Products have been answered, more than 18593 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Chapter 92: Integration by PartsA Way to Integrate Products includes 22 full stepbystep solutions. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547.

Acute angle
An angle whose measure is between 0° and 90°

Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point

Branches
The two separate curves that make up a hyperbola

Causation
A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

Commutative properties
a + b = b + a ab = ba

Cotangent
The function y = cot x

Derivative of ƒ at x a
ƒ'(a) = lim x:a ƒ(x)  ƒ(a) x  a provided the limit exists

Difference identity
An identity involving a trigonometric function of u  v

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Domain of a function
The set of all input values for a function

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Explicitly defined sequence
A sequence in which the kth term is given as a function of k.

Feasible points
Points that satisfy the constraints in a linear programming problem.

Future value of an annuity
The net amount of money returned from an annuity.

Graphical model
A visible representation of a numerical or algebraic model.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Multiplicity
The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x  c) (x  z 2) Á (x  z n)

Product of a scalar and a vector
The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

Zero factorial
See n factorial.