- 9-2.Q1: Differentiate: y = x tan x
- 9-2.Q2: Integrate: x10 dx
- 9-2.Q3: Sketch: y = ex
- 9-2.Q4: Integrate: cos 3x dx
- 9-2.Q5: Differentiate: y = cos 5x sin 5x
- 9-2.Q6: Sketch: y = 2/x
- 9-2.Q7: r(x) = t(x) dx if and only if ?.
- 9-2.Q8: Definition: (x) = ?
- 9-2.Q9: If f(6.2) = 13, f(6.5) = 19, and f(6.8) = 24, then (6.5) ?
- 9-2.Q10: If region R (Figure 9-2b) is rotated about the line x = c, the volu...
- 9-2.1: For 1-10, integrate by parts x sin x dx
- 9-2.2: For 1-10, integrate by parts x cos 3x dx
- 9-2.3: For 1-10, integrate by parts xe4x dx
- 9-2.4: For 1-10, integrate by parts 6x e3x dx
- 9-2.5: For 1-10, integrate by parts (x + 4)e5x dx
- 9-2.6: For 1-10, integrate by parts (x + 7)e2x d
- 9-2.7: For 1-10, integrate by parts x3 ln x dx
- 9-2.8: For 1-10, integrate by parts x5 ln 3x d
- 9-2.9: For 1-10, integrate by parts x2 ex dx
- 9-2.10: For 1-10, integrate by parts x2 ex dx
- 9-2.11: Integral of the Natural Logarithm Problem: You can evaluate the int...
- 9-2.12: Rapid Repeated Integration by Parts
Solutions for Chapter 9-2: Integration by PartsA Way to Integrate Products
Full solutions for Calculus: Concepts and Applications | 2nd Edition
Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point
Measure of the clockwise angle that the line of travel makes with due north
Complex numbers a + bi and a - bi
Difference of functions
(ƒ - g)(x) = ƒ(x) - g(x)
Matrices that have the same order and equal corresponding elements.
Equivalent systems of equations
Systems of equations that have the same solution.
See nth power of a.
Connected subset of the real number line with at least two points, p. 4.
Line of symmetry
A line over which a graph is the mirror image of itself
Multiplication property of equality
If u = v and w = z, then uw = vz
NINT (ƒ(x), x, a, b)
A calculator approximation to ?ab ƒ(x)dx
An interval that does not include its endpoints.
Real numbers shown to the right of the origin on a number line.
A trigonometric identity that reduces the power to which the trigonometric functions are raised.
Principle of mathematical induction
A principle related to mathematical induction.
Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random
tan ?= sin ?cos ?and cot ?= cos ? sin ?
See Reference triangle
The scale of the tick marks on the x-axis in a viewing window.
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