 94.Q1: In integration by parts, u dv = ?.
 94.Q2: Sketch: y = 3 cos x
 94.Q3: Sketch: y = cos 2x
 94.Q4: Differentiate: y = x ln 5x
 94.Q5: Integrate: sin5 x cos x d
 94.Q6: Integrate: dx/x
 94.Q7: Sketch the graph of a function that is continuous at point (3, 1), ...
 94.Q8: Find: (d/dx)(tan1 x)
 94.Q9: Integrate: sec x dx
 94.Q10: Integrate: e2x dx A. 2e4 B. e4 C. e6 e2 D. (e6 e2) E. e4
 94.1: For 16, take the first step in integration by parts or use appropri...
 94.2: For 16, take the first step in integration by parts or use appropri...
 94.3: For 16, take the first step in integration by parts or use appropri...
 94.4: For 16, take the first step in integration by parts or use appropri...
 94.5: For 16, take the first step in integration by parts or use appropri...
 94.6: For 16, take the first step in integration by parts or use appropri...
 94.7: For 712, derive the reduction formula in the box on page 447 using ...
 94.8: For 712, derive the reduction formula in the box on page 447 using ...
 94.9: For 712, derive the reduction formula in the box on page 447 using ...
 94.10: For 712, derive the reduction formula in the box on page 447 using ...
 94.11: For 712, derive the reduction formula in the box on page 447 using ...
 94.12: For 712, derive the reduction formula in the box on page 447 using ...
 94.13: For 1318, integrate by a. Using pencil and paper and the appropriat...
 94.14: For 1318, integrate by a. Using pencil and paper and the appropriat...
 94.15: For 1318, integrate by a. Using pencil and paper and the appropriat...
 94.16: For 1318, integrate by a. Using pencil and paper and the appropriat...
 94.17: For 1318, integrate by a. Using pencil and paper and the appropriat...
 94.18: For 1318, integrate by a. Using pencil and paper and the appropriat...
 94.19: Cosine Area Problem: Figure 94a shows the graphs of y = cos x y = ...
 94.20: Integral of cos5 x Another Way: You can write the integral cos5 x d...
 94.21: Integral of Secant Cubed Problem: The integral sec3 x dx often appe...
 94.22: Reduction Formula for sinn ax dx: Derive a reduction formula for si...
 94.23: Prove: sin3 ax dx = (cos ax)(sin2 ax + 2) + C (a 0)
 94.24: Prove: cos3 ax dx = (sin ax)(cos2 ax + 2) + C (a 0
Solutions for Chapter 94: Reduction Formulas and Computer Algebra Systems
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 94: Reduction Formulas and Computer Algebra Systems
Get Full SolutionsChapter 94: Reduction Formulas and Computer Algebra Systems includes 34 full stepbystep solutions. Since 34 problems in chapter 94: Reduction Formulas and Computer Algebra Systems have been answered, more than 21640 students have viewed full stepbystep solutions from this chapter. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. This expansive textbook survival guide covers the following chapters and their solutions.

Acute triangle
A triangle in which all angles measure less than 90°

Branches
The two separate curves that make up a hyperbola

Constant
A letter or symbol that stands for a specific number,

Descriptive statistics
The gathering and processing of numerical information

Equivalent arrows
Arrows that have the same magnitude and direction.

Equivalent vectors
Vectors with the same magnitude and direction.

Initial point
See Arrow.

Logistic growth function
A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + aekx, where a, b, c, and k are positive with b < 1. c is the limit to growth

nth root of a complex number z
A complex number v such that vn = z

Onetoone rule of logarithms
x = y if and only if logb x = logb y.

Partial fraction decomposition
See Partial fractions.

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Probability function
A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

Proportional
See Power function

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

Statistic
A number that measures a quantitative variable for a sample from a population.

Symmetric matrix
A matrix A = [aij] with the property aij = aji for all i and j

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.

Velocity
A vector that specifies the motion of an object in terms of its speed and direction.

ycoordinate
The directed distance from the xaxis xzplane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.