 5.1: In Exercises 110, find the indefinite integral. 16 dx
 5.2: In Exercises 110, find the indefinite integral. 3 5 x dx
 5.3: In Exercises 110, find the indefinite integral. 2x dx 2 5x dx 3
 5.4: In Exercises 110, find the indefinite integral. 5 6x2 2x dx 2
 5.5: In Exercises 110, find the indefinite integral. 2 3 3 x dx
 5.6: In Exercises 110, find the indefinite integral. 6x 2x dx
 5.7: In Exercises 110, find the indefinite integral. dx 3 x 4 3x dx
 5.8: In Exercises 110, find the indefinite integral. 4 x x dx
 5.9: In Exercises 110, find the indefinite integral. 2x4 1 x dx
 5.10: In Exercises 110, find the indefinite integral. 1 3x x2 dx
 5.11: In Exercises 1114, find the particular solution, that satisfies the...
 5.12: In Exercises 1114, find the particular solution, that satisfies the...
 5.13: In Exercises 1114, find the particular solution, that satisfies the...
 5.14: In Exercises 1114, find the particular solution, that satisfies the...
 5.15: Vertical Motion An object is projected upward from the ground with ...
 5.16: Revenue The weekly revenue for a new product has been increasing. T...
 5.17: In Exercises 1724, find the indefinite integral. 1 5x dx 2 dx t
 5.18: In Exercises 1724, find the indefinite integral. x 643 1 5x dx 2 dx
 5.19: In Exercises 1724, find the indefinite integral. 1 5x 1 dx
 5.20: In Exercises 1724, find the indefinite integral. 4x 1 3x2 dx
 5.21: In Exercises 1724, find the indefinite integral. x1 4x dx 2 dx
 5.22: In Exercises 1724, find the indefinite integral. x2 x3 42 x1 4x dx 2
 5.23: In Exercises 1724, find the indefinite integral. x dx 4 2x2x3 1 dx x
 5.24: In Exercises 1724, find the indefinite integral. x 1 x32 3 x dx 4
 5.25: Production The output P (in boardfeet) of a small sawmill changes ...
 5.26: Cost The marginal cost for a catering service to cater to x people ...
 5.27: In Exercises 2732, find the indefinite integral. 3e dt 3x dx
 5.28: In Exercises 2732, find the indefinite integral. 2t 1et2t 3e dt 3
 5.29: In Exercises 2732, find the indefinite integral. x 1e dx x22x dx
 5.30: In Exercises 2732, find the indefinite integral. 4 6x 1 x 1e dx x2
 5.31: In Exercises 2732, find the indefinite integral. x2 1 x3 dx
 5.32: In Exercises 2732, find the indefinite integral. x 4 x2 8x dx
 5.33: In Exercises 33 and 34, use a symbolic integration utility to find ...
 5.34: In Exercises 33 and 34, use a symbolic integration utility to find ...
 5.35: In Exercises 3540, find the area of the region. fx 4 2x
 5.36: In Exercises 3540, find the area of the region. fx 4 x2 f
 5.37: In Exercises 3540, find the area of the region. fx 4 x2 f
 5.38: In Exercises 3540, find the area of the region. fx 9 x2 f y
 5.39: In Exercises 3540, find the area of the region. fx 2 x 1 2
 5.40: In Exercises 3540, find the area of the region. fx 2xex24 fx
 5.41: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.42: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.43: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.44: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.45: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.46: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.47: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.48: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.49: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.50: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.51: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.52: In Exercises 41 52, use the Fundamental Theorem of Calculus to eval...
 5.53: Cost The marginal cost of serving a typical additional client at a ...
 5.54: Profit The marginal profit obtained by selling x dollars of automob...
 5.55: In Exercises 5558, find the average value of the function on the cl...
 5.56: In Exercises 5558, find the average value of the function on the cl...
 5.57: In Exercises 5558, find the average value of the function on the cl...
 5.58: In Exercises 5558, find the average value of the function on the cl...
 5.59: Compound Interest An interestbearing checking account yields 4% in...
 5.60: Consumer Awareness Suppose that the price p of gasoline can be mode...
 5.61: Consumer Trends The rates of change of beef prices (in dollars per ...
 5.62: Medical Science The volume V (in liters) of air in the lungs during...
 5.63: Annuity In Exercises 63 and 64, find the amount of an annuity with ...
 5.64: Annuity In Exercises 63 and 64, find the amount of an annuity with ...
 5.65: In Exercises 6568, explain how the given value can be used to evalu...
 5.66: In Exercises 6568, explain how the given value can be used to evalu...
 5.67: In Exercises 6568, explain how the given value can be used to evalu...
 5.68: In Exercises 6568, explain how the given value can be used to evalu...
 5.69: In Exercises 6974, sketch the region bounded by the graphs of the e...
 5.70: In Exercises 6974, sketch the region bounded by the graphs of the e...
 5.71: In Exercises 6974, sketch the region bounded by the graphs of the e...
 5.72: In Exercises 6974, sketch the region bounded by the graphs of the e...
 5.73: In Exercises 6974, sketch the region bounded by the graphs of the e...
 5.74: In Exercises 6974, sketch the region bounded by the graphs of the e...
 5.75: In Exercises 75 and 76, use a graphing utility to graph the region ...
 5.76: In Exercises 75 and 76, use a graphing utility to graph the region ...
 5.77: Consumer and Producer Surpluses In Exercises 77 and 78, find the co...
 5.78: Consumer and Producer Surpluses In Exercises 77 and 78, find the co...
 5.79: Sales The sales (in millions) for Avon from 1994 through 1999 can b...
 5.80: Revenue The revenues (in millions of dollars per year) for AT&T Wir...
 5.81: Revenue The revenues (in millions of dollars per year) for Time War...
 5.82: Psychology: Sleep Patterns The graph on the next page shows three a...
 5.83: In Exercises 8386, use the Midpoint Rule with to approximate the de...
 5.84: In Exercises 8386, use the Midpoint Rule with to approximate the de...
 5.85: In Exercises 8386, use the Midpoint Rule with to approximate the de...
 5.86: In Exercises 8386, use the Midpoint Rule with to approximate the de...
 5.87: In Exercises 8790, use the Disk Method to find the volume of the so...
 5.88: In Exercises 8790, use the Disk Method to find the volume of the so...
 5.89: In Exercises 8790, use the Disk Method to find the volume of the so...
 5.90: In Exercises 8790, use the Disk Method to find the volume of the so...
 5.91: In Exercises 9194, find the volume of the solid of revolution forme...
 5.92: In Exercises 9194, find the volume of the solid of revolution forme...
 5.93: In Exercises 9194, find the volume of the solid of revolution forme...
 5.94: In Exercises 9194, find the volume of the solid of revolution forme...
 5.95: Manufacturing A manufacturer drills a hole with radius 0.25 inch th...
 5.96: Design To create a computer design for a funnel, an engineer revolv...
Solutions for Chapter 5: Integration and Its Applications
Full solutions for Brief Calculus: An Applied Approach  7th Edition
ISBN: 9780618547197
Solutions for Chapter 5: Integration and Its Applications
Get Full SolutionsThis textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7. Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197. Chapter 5: Integration and Its Applications includes 96 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 96 problems in chapter 5: Integration and Its Applications have been answered, more than 24033 students have viewed full stepbystep solutions from this chapter.

Arcsecant function
See Inverse secant function.

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Direct variation
See Power function.

Directed angle
See Polar coordinates.

Discriminant
For the equation ax 2 + bx + c, the expression b2  4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2  4AC

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

Index of summation
See Summation notation.

Leading term
See Polynomial function in x.

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

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

Origin
The number zero on a number line, or the point where the x and yaxes cross in the Cartesian coordinate system, or the point where the x, y, and zaxes cross in Cartesian threedimensional space

Rational expression
An expression that can be written as a ratio of two polynomials.

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

Remainder polynomial
See Division algorithm for polynomials.

Row operations
See Elementary row operations.

Solve algebraically
Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

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

Unbounded interval
An interval that extends to ? or ? (or both).

Vertex of a parabola
The point of intersection of a parabola and its line of symmetry.