 8.6.1: In Exercises 1 and 2, use a table of integrals with forms involving...
 8.6.2: In Exercises 1 and 2, use a table of integrals with forms involving...
 8.6.3: In Exercises 3 and 4, use a table of integrals with forms involving...
 8.6.4: In Exercises 3 and 4, use a table of integrals with forms involving...
 8.6.5: In Exercises 5 and 6, use a table of integrals with forms involving...
 8.6.6: In Exercises 5 and 6, use a table of integrals with forms involving...
 8.6.7: In Exercises 710, use a table of integrals with forms involving the...
 8.6.8: In Exercises 710, use a table of integrals with forms involving the...
 8.6.9: In Exercises 710, use a table of integrals with forms involving the...
 8.6.10: In Exercises 710, use a table of integrals with forms involving the...
 8.6.11: In Exercises 11 and 12, use a table of integrals with forms involvi...
 8.6.12: In Exercises 11 and 12, use a table of integrals with forms involvi...
 8.6.13: In Exercises 13 and 14, use a table of integrals with forms involvi...
 8.6.14: In Exercises 13 and 14, use a table of integrals with forms involvi...
 8.6.15: In Exercises 1518, find the indefinite integral (a) using integrati...
 8.6.16: In Exercises 1518, find the indefinite integral (a) using integrati...
 8.6.17: In Exercises 1518, find the indefinite integral (a) using integrati...
 8.6.18: In Exercises 1518, find the indefinite integral (a) using integrati...
 8.6.19: In Exercises 1942, use integration tables to find the integral. x a...
 8.6.20: In Exercises 1942, use integration tables to find the integral. arc...
 8.6.21: In Exercises 1942, use integration tables to find the integral. dx ...
 8.6.22: In Exercises 1942, use integration tables to find the integral. 1 x...
 8.6.23: In Exercises 1942, use integration tables to find the integral. d 2...
 8.6.24: In Exercises 1942, use integration tables to find the integral. 2 1...
 8.6.25: In Exercises 1942, use integration tables to find the integral. e d...
 8.6.26: In Exercises 1942, use integration tables to find the integral. ex ...
 8.6.27: In Exercises 1942, use integration tables to find the integral. dt ...
 8.6.28: In Exercises 1942, use integration tables to find the integral. 1 t...
 8.6.29: In Exercises 1942, use integration tables to find the integral. dx ...
 8.6.30: In Exercises 1942, use integration tables to find the integral. x22...
 8.6.31: In Exercises 1942, use integration tables to find the integral. dx ...
 8.6.32: In Exercises 1942, use integration tables to find the integral. x a...
 8.6.33: In Exercises 1942, use integration tables to find the integral. dx ...
 8.6.34: In Exercises 1942, use integration tables to find the integral. ex ...
 8.6.35: In Exercises 1942, use integration tables to find the integral. x x...
 8.6.36: In Exercises 1942, use integration tables to find the integral. 2x ...
 8.6.37: In Exercises 1942, use integration tables to find the integral. dx ...
 8.6.38: In Exercises 1942, use integration tables to find the integral. cos...
 8.6.39: In Exercises 1942, use integration tables to find the integral. dx ...
 8.6.40: In Exercises 1942, use integration tables to find the integral. 3 x...
 8.6.41: In Exercises 1942, use integration tables to find the integral. d e...
 8.6.42: In Exercises 1942, use integration tables to find the integral. tan...
 8.6.43: In Exercises 4350, use integration tables to evaluate the integral....
 8.6.44: In Exercises 4350, use integration tables to evaluate the integral....
 8.6.45: In Exercises 4350, use integration tables to evaluate the integral....
 8.6.46: In Exercises 4350, use integration tables to evaluate the integral....
 8.6.47: In Exercises 4350, use integration tables to evaluate the integral....
 8.6.48: In Exercises 4350, use integration tables to evaluate the integral....
 8.6.49: In Exercises 4350, use integration tables to evaluate the integral....
 8.6.50: In Exercises 4350, use integration tables to evaluate the integral....
 8.6.51: In Exercises 5156, verify the integration formula. a bu C u2 a bu2 du
 8.6.52: In Exercises 5156, verify the integration formula. un a bu du
 8.6.53: In Exercises 5156, verify the integration formula. 1 u2 a2 32 du u ...
 8.6.54: In Exercises 5156, verify the integration formula. un cos u du un s...
 8.6.55: In Exercises 5156, verify the integration formula. arctan u du u ar...
 8.6.56: In Exercises 5156, verify the integration formula. ln un du uln un ...
 8.6.57: In Exercises 5762, use a computer algebra system to determine the a...
 8.6.58: In Exercises 5762, use a computer algebra system to determine the a...
 8.6.59: In Exercises 5762, use a computer algebra system to determine the a...
 8.6.60: In Exercises 5762, use a computer algebra system to determine the a...
 8.6.61: In Exercises 5762, use a computer algebra system to determine the a...
 8.6.62: In Exercises 5762, use a computer algebra system to determine the a...
 8.6.63: In Exercises 6370, find or evaluate the integral. d 1 2 3 sin d
 8.6.64: In Exercises 6370, find or evaluate the integral. sin 1 cos2 d 1
 8.6.65: In Exercises 6370, find or evaluate the integral. d 2 0 1 1 sin cos d
 8.6.66: In Exercises 6370, find or evaluate the integral. 2 0 1 3 2 cos d 2
 8.6.67: In Exercises 6370, find or evaluate the integral. d sin 3 2 cos d
 8.6.68: In Exercises 6370, find or evaluate the integral. cos 1 cos d si
 8.6.69: In Exercises 6370, find or evaluate the integral. d cos d c
 8.6.70: In Exercises 6370, find or evaluate the integral. 1 sec tan d cos
 8.6.71: Area In Exercises 71 and 72, find the area of the region bounded by...
 8.6.72: Area In Exercises 71 and 72, find the area of the region bounded by...
 8.6.73: In Exercises 7378, state (if possible) the method or integration fo...
 8.6.74: In Exercises 7378, state (if possible) the method or integration fo...
 8.6.75: In Exercises 7378, state (if possible) the method or integration fo...
 8.6.76: In Exercises 7378, state (if possible) the method or integration fo...
 8.6.77: In Exercises 7378, state (if possible) the method or integration fo...
 8.6.78: In Exercises 7378, state (if possible) the method or integration fo...
 8.6.79: (a) Evaluate for 2, and 3. Describe any patterns you notice. (b) Wr...
 8.6.80: Describe what is meant by a reduction formula. Give an example.
 8.6.81: True or False? In Exercises 81 and 82, determine whether the statem...
 8.6.82: True or False? In Exercises 81 and 82, determine whether the statem...
 8.6.83: Work A hydraulic cylinder on an industrial machine pushes a steel b...
 8.6.84: Work Repeat Exercise 83, using pounds.
 8.6.85: Building Design The cross section of a precast concrete beam for a ...
 8.6.86: Population A population is growing according to the logistic model ...
 8.6.87: In Exercises 87 and 88, use a graphing utility to (a) solve the int...
 8.6.88: In Exercises 87 and 88, use a graphing utility to (a) solve the int...
 8.6.89: Evaluate
Solutions for Chapter 8.6: Integration by Tables and Other Integration Techniques
Full solutions for Calculus  8th Edition
ISBN: 9780618502981
Solutions for Chapter 8.6: Integration by Tables and Other Integration Techniques
Get Full SolutionsSince 89 problems in chapter 8.6: Integration by Tables and Other Integration Techniques have been answered, more than 78362 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 8.6: Integration by Tables and Other Integration Techniques includes 89 full stepbystep solutions.

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data

Combination
An arrangement of elements of a set, in which order is not important

Components of a vector
See Component form of a vector.

Composition of functions
(f ? g) (x) = f (g(x))

Cubic
A degree 3 polynomial function

Distance (in a coordinate plane)
The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1  x 2)2 + (y1  y2)2

Factored form
The left side of u(v + w) = uv + uw.

Major axis
The line segment through the foci of an ellipse with endpoints on the ellipse

Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2

Odd function
A function whose graph is symmetric about the origin (ƒ(x) = ƒ(x) for all x in the domain of f).

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

Perihelion
The closest point to the Sun in a planet’s orbit.

Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

Random behavior
Behavior that is determined only by the laws of probability.

Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

Scalar
A real number.

Sequence
See Finite sequence, Infinite sequence.

Tangent
The function y = tan x

zcoordinate
The directed distance from the xyplane to a point in space, or the third number in an ordered triple.