 5.2.1: What does net area measure?
 5.2.2: What is the geometric meaning of a definite integral if the integra...
 5.2.3: Under what conditions does the net area of a region equal the area ...
 5.2.4: Suppose that f 1x2 6 0 on the interval 3a, b4. Using Riemann sums, ...
 5.2.5: Use graphs to evaluate 1 2p 0 sin x dx and 1 2p 0 cos x dx.
 5.2.6: Explain how the notation for Riemann sums, a n k = 1 f 1xk *2_x, co...
 5.2.7: Give a geometrical explanation of why 1 a a f 1x2 dx = 0.
 5.2.8: Use Table 5.4 to rewrite 1 6 1 12x3  4x2 dx as the difference of t...
 5.2.9: Use geometry to find a formula for 1 a 0 x dx, in terms of a.
 5.2.10: If f is continuous on 3a, b4 and 1 b a _ f 1x2 _ dx = 0, what can y...
 5.2.11: 1114. Approximating net area The following functions are negative o...
 5.2.12: 1114. Approximating net area The following functions are negative o...
 5.2.13: 1114. Approximating net area The following functions are negative o...
 5.2.14: 1114. Approximating net area The following functions are negative o...
 5.2.15: 1520. Approximating net area The following functions are positive a...
 5.2.16: 1520. Approximating net area The following functions are positive a...
 5.2.17: 1520. Approximating net area The following functions are positive a...
 5.2.18: 1520. Approximating net area The following functions are positive a...
 5.2.19: 1520. Approximating net area The following functions are positive a...
 5.2.20: 1520. Approximating net area The following functions are positive a...
 5.2.21: 2124. Identifying definite integrals as limits of sums Consider the...
 5.2.22: 2124. Identifying definite integrals as limits of sums Consider the...
 5.2.23: 2124. Identifying definite integrals as limits of sums Consider the...
 5.2.24: 2124. Identifying definite integrals as limits of sums Consider the...
 5.2.25: 2532. Net area and definite integrals Use geometry (not Riemann sum...
 5.2.26: 2532. Net area and definite integrals Use geometry (not Riemann sum...
 5.2.27: 2532. Net area and definite integrals Use geometry (not Riemann sum...
 5.2.28: 2532. Net area and definite integrals Use geometry (not Riemann sum...
 5.2.29: 2532. Net area and definite integrals Use geometry (not Riemann sum...
 5.2.30: 2532. Net area and definite integrals Use geometry (not Riemann sum...
 5.2.31: 2532. Net area and definite integrals Use geometry (not Riemann sum...
 5.2.32: 2532. Net area and definite integrals Use geometry (not Riemann sum...
 5.2.33: 3336. Net area from graphs The figure shows the areas of regions bo...
 5.2.34: 3336. Net area from graphs The figure shows the areas of regions bo...
 5.2.35: 3336. Net area from graphs The figure shows the areas of regions bo...
 5.2.36: 3336. Net area from graphs The figure shows the areas of regions bo...
 5.2.37: 3740. Net area from graphs The accompanying figure shows four regio...
 5.2.38: 3740. Net area from graphs The accompanying figure shows four regio...
 5.2.39: 3740. Net area from graphs The accompanying figure shows four regio...
 5.2.40: 3740. Net area from graphs The accompanying figure shows four regio...
 5.2.41: Properties of integrals Use only the fact that 1 4 0 3x14  x2 dx =...
 5.2.42: Properties of integrals Suppose 1 4 1 f 1x2 dx = 8 and 1 6 1 f 1x2 ...
 5.2.43: Properties of integrals Suppose 1 3 0 f 1x2 dx = 2, 1 6 3 f 1x2 dx ...
 5.2.44: Properties of integrals Suppose f 1x2 0 on 30, 24, f 1x2 0 on 32, 5...
 5.2.45: 4546. Using properties of integrals Use the value of the first inte...
 5.2.46: 4546. Using properties of integrals Use the value of the first inte...
 5.2.47: 4752. Limits of sums Use the definition of the definite integral to...
 5.2.48: 4752. Limits of sums Use the definition of the definite integral to...
 5.2.49: 4752. Limits of sums Use the definition of the definite integral to...
 5.2.50: 4752. Limits of sums Use the definition of the definite integral to...
 5.2.51: 4752. Limits of sums Use the definition of the definite integral to...
 5.2.52: 4752. Limits of sums Use the definition of the definite integral to...
 5.2.53: Explain why or why not Determine whether the following statements a...
 5.2.54: 5457. Approximating definite integrals Complete the following steps...
 5.2.55: 5457. Approximating definite integrals Complete the following steps...
 5.2.56: 5457. Approximating definite integrals Complete the following steps...
 5.2.57: 5457. Approximating definite integrals Complete the following steps...
 5.2.58: 5862. Approximating definite integrals with a calculator Consider t...
 5.2.59: 5862. Approximating definite integrals with a calculator Consider t...
 5.2.60: 5862. Approximating definite integrals with a calculator Consider t...
 5.2.61: 5862. Approximating definite integrals with a calculator Consider t...
 5.2.62: 5862. Approximating definite integrals with a calculator Consider t...
 5.2.63: 6366. Midpoint Riemann sums with a calculator Consider the followin...
 5.2.64: 6366. Midpoint Riemann sums with a calculator Consider the followin...
 5.2.65: 6366. Midpoint Riemann sums with a calculator Consider the followin...
 5.2.66: 6366. Midpoint Riemann sums with a calculator Consider the followin...
 5.2.67: More properties of integrals Consider two functions f and g on 31, ...
 5.2.68: 6366. Midpoint Riemann sums with a calculator Consider the followin...
 5.2.69: 6366. Midpoint Riemann sums with a calculator Consider the followin...
 5.2.70: 6366. Midpoint Riemann sums with a calculator Consider the followin...
 5.2.71: 6366. Midpoint Riemann sums with a calculator Consider the followin...
 5.2.72: 7275. Area by geometry Use geometry to evaluate the following integ...
 5.2.73: 7275. Area by geometry Use geometry to evaluate the following integ...
 5.2.74: 7275. Area by geometry Use geometry to evaluate the following integ...
 5.2.75: 7275. Area by geometry Use geometry to evaluate the following integ...
 5.2.76: Integrating piecewise continuous functions Suppose f is continuous ...
 5.2.77: 7778. Integrating piecewise continuous functions Use geometry and t...
 5.2.78: 7778. Integrating piecewise continuous functions Use geometry and t...
 5.2.79: 7980. Integrating piecewise continuous functions Recall that the fl...
 5.2.80: 7980. Integrating piecewise continuous functions Recall that the fl...
 5.2.81: Constants in integrals Use the definition of the definite integral ...
 5.2.82: Zero net area If 0 6 c 6 d, then find the value of b (in terms of c...
 5.2.83: A nonintegrable function Consider the function defined on 30, 14 su...
 5.2.84: Powers of x by Riemann sums Consider the integral I1p2 = 1 1 0 xp d...
 5.2.85: An exact integration formula Evaluate L b a dx x2, where 0 6 a 6 b,...
Solutions for Chapter 5.2: Calculus: Early Transcendentals 2nd Edition
Full solutions for Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321947345
Solutions for Chapter 5.2
Get Full SolutionsCalculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. Since 85 problems in chapter 5.2 have been answered, more than 54449 students have viewed full stepbystep solutions from this chapter. Chapter 5.2 includes 85 full stepbystep solutions.

Convenience sample
A sample that sacrifices randomness for convenience

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Function
A relation that associates each value in the domain with exactly one value in the range.

General form (of a line)
Ax + By + C = 0, where A and B are not both zero.

Halfplane
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

Mapping
A function viewed as a mapping of the elements of the domain onto the elements of the range

nset
A set of n objects.

Present value of an annuity T
he net amount of your money put into an annuity.

Radian measure
The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

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

Relation
A set of ordered pairs of real numbers.

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

Slant asymptote
An end behavior asymptote that is a slant line

Slopeintercept form (of a line)
y = mx + b

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

Stemplot (or stemandleaf plot)
An arrangement of a numerical data set into a specific tabular format.

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

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