 91.1: Find the approximate volume of the solid in Figure 91a by numerica...
 91.2: Let f(x) = x sin x. Use the derivative of a product formula to find...
 91.3: Multiply both sides of the equation for (x) in by dx. Then integrat...
 91.4: The integral x cos x dx should be one term in the equation of 3. Us...
 91.5: Use the result of to find the exact volume of the solid in Figure 9...
 91.6: Find a decimal approximation for the exact volume in 5. How close d...
 91.7: The technique of this exercise is called integration by parts. Why ...
Solutions for Chapter 91: Introduction to the Integral of a Product of Two Functions
Full solutions for Calculus: Concepts and Applications  2nd Edition
ISBN: 9781559536547
Solutions for Chapter 91: Introduction to the Integral of a Product of Two Functions
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Chapter 91: Introduction to the Integral of a Product of Two Functions includes 7 full stepbystep solutions. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This expansive textbook survival guide covers the following chapters and their solutions. Since 7 problems in chapter 91: Introduction to the Integral of a Product of Two Functions have been answered, more than 18543 students have viewed full stepbystep solutions from this chapter.

Amplitude
See Sinusoid.

Components of a vector
See Component form of a vector.

Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)

Cosine
The function y = cos x

Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2  x 1, y2  y19>

Interval
Connected subset of the real number line with at least two points, p. 4.

Leading term
See Polynomial function in x.

Natural logarithmic regression
A procedure for fitting a logarithmic curve to a set of data.

NDER ƒ(a)
See Numerical derivative of ƒ at x = a.

Orthogonal vectors
Two vectors u and v with u x v = 0.

Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.

Parametric equations
Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

Slope
Ratio change in y/change in x

Solve graphically
Use a graphical method, including use of a hand sketch or use of a grapher. When appropriate, the approximate solution should be confirmed algebraically

Sphere
A set of points in Cartesian space equally distant from a fixed point called the center.

Subtraction
a  b = a + (b)

Vertices of an ellipse
The points where the ellipse intersects its focal axis.

xintercept
A point that lies on both the graph and the xaxis,.