 4.4.1: Graphical Reasoning In Exercises 1 4, use a graphing utility to gra...
 4.4.2: Graphical Reasoning In Exercises 1 4, use a graphing utility to gra...
 4.4.3: Graphical Reasoning In Exercises 1 4, use a graphing utility to gra...
 4.4.4: Graphical Reasoning In Exercises 1 4, use a graphing utility to gra...
 4.4.5: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.6: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.7: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.8: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.9: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.10: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.11: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.12: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.13: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.14: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.15: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.16: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.17: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.18: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.19: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.20: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.21: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.22: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.23: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.24: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.25: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.26: In Exercises 5 26, evaluate the definite integral of the algebraic ...
 4.4.27: In Exercises 2732, evaluate the definite integral of the trigonomet...
 4.4.28: In Exercises 2732, evaluate the definite integral of the trigonomet...
 4.4.29: In Exercises 2732, evaluate the definite integral of the trigonomet...
 4.4.30: In Exercises 2732, evaluate the definite integral of the trigonomet...
 4.4.31: In Exercises 2732, evaluate the definite integral of the trigonomet...
 4.4.32: In Exercises 2732, evaluate the definite integral of the trigonomet...
 4.4.33: In Exercises 3338, determine the area of the given region. 2y2x
 4.4.34: In Exercises 3338, determine the area of the given region. y2x2
 4.4.35: In Exercises 3338, determine the area of the given region. 2x2
 4.4.36: In Exercises 3338, determine the area of the given region. 2x2x
 4.4.37: In Exercises 3338, determine the area of the given region. x2xy
 4.4.38: In Exercises 3338, determine the area of the given region. 2xy
 4.4.39: In Exercises 3942, find the area of the region bounded by the graph...
 4.4.40: In Exercises 3942, find the area of the region bounded by the graph...
 4.4.41: In Exercises 3942, find the area of the region bounded by the graph...
 4.4.42: In Exercises 3942, find the area of the region bounded by the graph...
 4.4.43: In Exercises 4346, find the value(s) of guaranteed by the Mean Valu...
 4.4.44: In Exercises 4346, find the value(s) of guaranteed by the Mean Valu...
 4.4.45: In Exercises 4346, find the value(s) of guaranteed by the Mean Valu...
 4.4.46: In Exercises 4346, find the value(s) of guaranteed by the Mean Valu...
 4.4.47: In Exercises 4750, find the average value of the function over the ...
 4.4.48: In Exercises 4750, find the average value of the function over the ...
 4.4.49: In Exercises 4750, find the average value of the function over the ...
 4.4.50: In Exercises 4750, find the average value of the function over the ...
 4.4.51: Velocity The graph shows the velocity, in feet per second, of a car...
 4.4.52: Velocity The graph shows the velocity of a car as soon as the drive...
 4.4.53: State the Fundamental Theorem of Calculus. 3y1
 4.4.54: The graph of is shown in the figure. (a) Evaluate (b) Determine the...
 4.4.55: In Exercises 5560, use the graph of shown in the figure. The shaded...
 4.4.56: In Exercises 5560, use the graph of shown in the figure. The shaded...
 4.4.57: In Exercises 5560, use the graph of shown in the figure. The shaded...
 4.4.58: In Exercises 5560, use the graph of shown in the figure. The shaded...
 4.4.59: In Exercises 5560, use the graph of shown in the figure. The shaded...
 4.4.60: In Exercises 5560, use the graph of shown in the figure. The shaded...
 4.4.61: Force The force (in newtons) of a hydraulic cylinder in a press is ...
 4.4.62: Blood Flow The velocity of the flow of blood at a distance from the...
 4.4.63: Respiratory Cycle The volume in liters of air in the lungs during a...
 4.4.64: Average Sales A company fits a model to the monthly sales data of a...
 4.4.65: Modeling Data An experimental vehicle is tested on a straight track...
 4.4.66: Modeling Data A department store manager wants to estimate the numb...
 4.4.67: In Exercises 6772, find as a function of and evaluate it at and 1y12
 4.4.68: In Exercises 6772, find as a function of and evaluate it at and y12x
 4.4.69: In Exercises 6772, find as a function of and evaluate it at and 12x
 4.4.70: In Exercises 6772, find as a function of and evaluate it at and 12x4
 4.4.71: In Exercises 6772, find as a function of and evaluate it at and 2x4y
 4.4.72: In Exercises 6772, find as a function of and evaluate it at and x4y
 4.4.73: Let where is a function whose graph is shown. (a) Estimate and (b) ...
 4.4.74: Let where is a function whose graph is shown. (a) Estimate and (b) ...
 4.4.75: In Exercises 75 80, (a) integrate to find as a function of and (b) ...
 4.4.76: In Exercises 75 80, (a) integrate to find as a function of and (b) ...
 4.4.77: In Exercises 75 80, (a) integrate to find as a function of and (b) ...
 4.4.78: In Exercises 75 80, (a) integrate to find as a function of and (b) ...
 4.4.79: In Exercises 75 80, (a) integrate to find as a function of and (b) ...
 4.4.80: In Exercises 75 80, (a) integrate to find as a function of and (b) ...
 4.4.81: In Exercises 8186, use the Second Fundamental Theorem of Calculus t...
 4.4.82: In Exercises 8186, use the Second Fundamental Theorem of Calculus t...
 4.4.83: In Exercises 8186, use the Second Fundamental Theorem of Calculus t...
 4.4.84: In Exercises 8186, use the Second Fundamental Theorem of Calculus t...
 4.4.85: In Exercises 8186, use the Second Fundamental Theorem of Calculus t...
 4.4.86: In Exercises 8186, use the Second Fundamental Theorem of Calculus t...
 4.4.87: In Exercises 8792, find 2y
 4.4.88: In Exercises 8792, find 2y
 4.4.89: In Exercises 8792, find yx
 4.4.90: In Exercises 8792, find yx
 4.4.91: In Exercises 8792, find x3
 4.4.92: In Exercises 8792, find x3y
 4.4.93: Graphical Analysis Approximate the graph of on the interval where I...
 4.4.94: Use the graph of the function shown in the figure on the next page ...
 4.4.95: Cost The total cost (in dollars) of purchasing and maintaining a pi...
 4.4.96: Area The area between the graph of the function and the axis over t...
 4.4.97: Rectilinear Motion In Exercises 9799, consider a particle moving al...
 4.4.98: Rectilinear Motion In Exercises 9799, consider a particle moving al...
 4.4.99: Rectilinear Motion In Exercises 9799, consider a particle moving al...
 4.4.100: Buffons Needle Experiment A horizontal plane is ruled with parallel...
 4.4.101: True or False? In Exercises 101 and 102, determine whether the stat...
 4.4.102: True or False? In Exercises 101 and 102, determine whether the stat...
 4.4.103: Find the Error Describe why the statement is incorrect. yx2
 4.4.104: Prove that yx2x
 4.4.105: Show that the function is constant for x2x2
 4.4.106: Let where is continuous for all real Find (a) (b) (c) and (d) x2x2
Solutions for Chapter 4.4: The Fundamental Theorem of Calculus
Full solutions for Calculus  8th Edition
ISBN: 9780618502981
Solutions for Chapter 4.4: The Fundamental Theorem of Calculus
Get Full SolutionsChapter 4.4: The Fundamental Theorem of Calculus includes 106 full stepbystep solutions. Since 106 problems in chapter 4.4: The Fundamental Theorem of Calculus have been answered, more than 78360 students have viewed full stepbystep solutions from this chapter. Calculus was written by and is associated to the ISBN: 9780618502981. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8.

Annuity
A sequence of equal periodic payments.

Components of a vector
See Component form of a vector.

Doubleangle identity
An identity involving a trigonometric function of 2u

End behavior asymptote of a rational function
A polynomial that the function approaches as.

First quartile
See Quartile.

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>

Initial value of a function
ƒ 0.

Inverse function
The inverse relation of a onetoone function.

Leastsquares line
See Linear regression line.

Multiplication property of equality
If u = v and w = z, then uw = vz

Natural logarithm
A logarithm with base e.

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

Outcomes
The various possible results of an experiment.

Reference triangle
For an angle ? in standard position, a reference triangle is a triangle formed by the terminal side of angle ?, the xaxis, and a perpendicular dropped from a point on the terminal side to the xaxis. The angle in a reference triangle at the origin is the reference angle

Scalar
A real number.

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

Symmetric property of equality
If a = b, then b = a

Time plot
A line graph in which time is measured on the horizontal axis.

Vertical asymptote
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a ƒ1x2 = q.

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.