 5.1.1: In Exercises 14, verify the statement by showing that the derivativ...
 5.1.2: In Exercises 14, verify the statement by showing that the derivativ...
 5.1.3: In Exercises 14, verify the statement by showing that the derivativ...
 5.1.4: In Exercises 14, verify the statement by showing that the derivativ...
 5.1.5: In Exercises 58, find the general solution of the differential equa...
 5.1.6: In Exercises 58, find the general solution of the differential equa...
 5.1.7: In Exercises 58, find the general solution of the differential equa...
 5.1.8: In Exercises 58, find the general solution of the differential equa...
 5.1.9: In Exercises 914, complete the table using Example 3 and the exampl...
 5.1.10: In Exercises 914, complete the table using Example 3 and the exampl...
 5.1.11: In Exercises 914, complete the table using Example 3 and the exampl...
 5.1.12: In Exercises 914, complete the table using Example 3 and the exampl...
 5.1.13: In Exercises 914, complete the table using Example 3 and the exampl...
 5.1.14: In Exercises 914, complete the table using Example 3 and the exampl...
 5.1.15: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.16: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.17: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.18: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.19: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.20: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.21: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.22: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.23: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.24: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.25: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.26: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.27: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.28: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.29: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.30: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.31: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.32: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.33: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.34: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.35: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.36: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.37: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.38: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.39: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.40: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.41: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.42: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.43: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.44: In Exercises 1544, find the indefinite integral and check the resul...
 5.1.45: In Exercises 4548, sketch the graphs of the function for and on the...
 5.1.46: In Exercises 4548, sketch the graphs of the function for and on the...
 5.1.47: In Exercises 4548, sketch the graphs of the function for and on the...
 5.1.48: In Exercises 4548, sketch the graphs of the function for and on the...
 5.1.49: In Exercises 4952, the graph of the derivative of a function is giv...
 5.1.50: In Exercises 4952, the graph of the derivative of a function is giv...
 5.1.51: In Exercises 4952, the graph of the derivative of a function is giv...
 5.1.52: In Exercises 4952, the graph of the derivative of a function is giv...
 5.1.53: In Exercises 5356, find the equation for y, given the derivative an...
 5.1.54: In Exercises 5356, find the equation for y, given the derivative an...
 5.1.55: In Exercises 5356, find the equation for y, given the derivative an...
 5.1.56: In Exercises 5356, find the equation for y, given the derivative an...
 5.1.57: Slope Fields In Exercises 5760, a differential equation, a point, a...
 5.1.58: Slope Fields In Exercises 5760, a differential equation, a point, a...
 5.1.59: Slope Fields In Exercises 5760, a differential equation, a point, a...
 5.1.60: Slope Fields In Exercises 5760, a differential equation, a point, a...
 5.1.61: Slope Fields In Exercises 61 and 62, (a) use a graphing utility to ...
 5.1.62: Slope Fields In Exercises 61 and 62, (a) use a graphing utility to ...
 5.1.63: In Exercises 6372, solve the differential equation.fx 4x, f0 6 ,
 5.1.64: In Exercises 6372, solve the differential equation.
 5.1.65: In Exercises 6372, solve the differential equation.
 5.1.66: In Exercises 6372, solve the differential equation.
 5.1.67: In Exercises 6372, solve the differential equation.fx 2, f2 5, f2 10f
 5.1.68: In Exercises 6372, solve the differential equation.fx x2, f0 6, f0 3f
 5.1.69: In Exercises 6372, solve the differential equation.fx x32, f4 2, f0 0f
 5.1.70: In Exercises 6372, solve the differential equation.fx sin x, f0 1, ...
 5.1.71: In Exercises 6372, solve the differential equation.fx ex, f0 2, f0 5SE
 5.1.72: In Exercises 6372, solve the differential equation.fx 2x2, f1 4, f1 3f
 5.1.73: Tree Growth An evergreen nursery usually sells a certain shrub afte...
 5.1.74: Population Growth The rate of growth of a population of bacteria is...
 5.1.75: Use the graph of shown in the figure to answer the following, given...
 5.1.76: The graphs of and each pass through the origin. Use the graph of sh...
 5.1.77: Vertical Motion In Exercises 7780, use feet per second per second a...
 5.1.78: Vertical Motion In Exercises 7780, use feet per second per second a...
 5.1.79: Vertical Motion In Exercises 7780, use feet per second per second a...
 5.1.80: Vertical Motion In Exercises 7780, use feet per second per second a...
 5.1.81: Vertical Motion In Exercises 81 and 82, use meters per second per s...
 5.1.82: Vertical Motion In Exercises 81 and 82, use meters per second per s...
 5.1.83: A baseball is thrown upward from a height of 2 meters with an initi...
 5.1.84: With what initial velocity must an object be thrown upward (from a ...
 5.1.85: Lunar Gravity On the moon, the acceleration due to gravity is meter...
 5.1.86: Escape Velocity The minimum velocity required for an object to esca...
 5.1.87: Rectilinear Motion In Exercises 8790, consider a particle moving al...
 5.1.88: Rectilinear Motion In Exercises 8790, consider a particle moving al...
 5.1.89: Rectilinear Motion In Exercises 8790, consider a particle moving al...
 5.1.90: Rectilinear Motion In Exercises 8790, consider a particle moving al...
 5.1.91: Acceleration The maker of an automobile advertises that it takes 13...
 5.1.92: Deceleration A car traveling at 45 miles per hour is brought to a s...
 5.1.93: Acceleration At the instant the traffic light turns green, a car th...
 5.1.94: Modeling Data The table shows the velocities (in miles per hour) of...
 5.1.95: True or False? In Exercises 95100, determine whether the statement ...
 5.1.96: True or False? In Exercises 95100, determine whether the statement ...
 5.1.97: True or False? In Exercises 95100, determine whether the statement ...
 5.1.98: True or False? In Exercises 95100, determine whether the statement ...
 5.1.99: True or False? In Exercises 95100, determine whether the statement ...
 5.1.100: True or False? In Exercises 95100, determine whether the statement ...
 5.1.101: Find a function such that the graph of has a horizontal tangent at ...
 5.1.102: The graph of is shown. Sketch the graph of given that is continuous...
 5.1.103: If f is continuous, and find f. Is f differentiable at x 2?
 5.1.104: Let be two functions satisfying and for all If prove that sx2 cx2 1.cx
 5.1.105: Verification Verify the natural log rule by showing that the deriva...
 5.1.106: Verification Verify the natural log ruleby showing that the derivat...
 5.1.107: Suppose and are nonconstant, differentiable, realvalued functions ...
Solutions for Chapter 5.1: Antiderivatives and Indefinite Integration
Full solutions for Calculus: Early Transcendental Functions  4th Edition
ISBN: 9780618606245
Solutions for Chapter 5.1: Antiderivatives and Indefinite Integration
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Since 107 problems in chapter 5.1: Antiderivatives and Indefinite Integration have been answered, more than 45492 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.1: Antiderivatives and Indefinite Integration includes 107 full stepbystep solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245.

Annuity
A sequence of equal periodic payments.

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

Halfangle identity
Identity involving a trigonometric function of u/2.

Hyperboloid of revolution
A surface generated by rotating a hyperbola about its transverse axis, p. 607.

Limit
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

Limit to growth
See Logistic growth function.

Linear function
A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

Measure of an angle
The number of degrees or radians in an angle

Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.

Natural numbers
The numbers 1, 2, 3, . . . ,.

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

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Perpendicular lines
Two lines that are at right angles to each other

Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02

Remainder polynomial
See Division algorithm for polynomials.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Supply curve
p = ƒ(x), where x represents production and p represents price

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

Vertical translation
A shift of a graph up or down.

Zero vector
The vector <0,0> or <0,0,0>.