 7.4.1: In Exercises 1 t, match the antiderivnti\e with the correct integra...
 7.4.2: In Exercises 1 t, match the antiderivnti\e with the correct integra...
 7.4.3: In Exercises 1 t, match the antiderivnti\e with the correct integra...
 7.4.4: In Exercises 1 t, match the antiderivnti\e with the correct integra...
 7.4.5: In Exercises 58. e\aluate the indetlnite integral using the substi...
 7.4.6: In Exercises 58. e\aluate the indetlnite integral using the substi...
 7.4.7: In Exercises 58. e\aluate the indetlnite integral using the substi...
 7.4.8: In Exercises 58. e\aluate the indetlnite integral using the substi...
 7.4.9: In Exercises M12, evaluate the indellnite integral using the subst...
 7.4.10: In Exercises M12, evaluate the indellnite integral using the subst...
 7.4.11: In Exercises M12, evaluate the indellnite integral using the subst...
 7.4.12: In Exercises M12, evaluate the indellnite integral using the subst...
 7.4.13: In Exercises 1.116. evaluate the indellnite integral using the sub...
 7.4.14: In Exercises 1.116. evaluate the indellnite integral using the sub...
 7.4.15: In Exercises 1.116. evaluate the indellnite integral using the sub...
 7.4.16: In Exercises 1.116. evaluate the indellnite integral using the sub...
 7.4.17: In Exercises 17 and IS, use Theorem 7.2 to e\ahiale the integral. U...
 7.4.18: In Exercises 17 and IS, use Theorem 7.2 to e\ahiale the integral.v/...
 7.4.19: In Exercises 1940. evaluate the integral.
 7.4.20: In Exercises 1940. evaluate the integral.
 7.4.21: In Exercises 1940. evaluate the integral.
 7.4.22: In Exercises 1940. evaluate the integral.
 7.4.23: In Exercises 1940. evaluate the integral.
 7.4.24: In Exercises 1940. evaluate the integral.
 7.4.25: In Exercises 1940. evaluate the integral.
 7.4.26: In Exercises 1940. evaluate the integral.
 7.4.27: In Exercises 1940. evaluate the integral.
 7.4.28: In Exercises 1940. evaluate the integral.
 7.4.29: In Exercises 1940. evaluate the integral.
 7.4.30: In Exercises 1940. evaluate the integral.
 7.4.31: In Exercises 1940. evaluate the integral.
 7.4.32: In Exercises 1940. evaluate the integral.
 7.4.33: In Exercises 1940. evaluate the integral.
 7.4.34: In Exercises 1940. evaluate the integral.
 7.4.35: In Exercises 1940. evaluate the integral.
 7.4.36: In Exercises 1940. evaluate the integral.
 7.4.37: In Exercises 1940. evaluate the integral.
 7.4.38: In Exercises 1940. evaluate the integral.
 7.4.39: In Exercises 1940. evaluate the integral.
 7.4.40: In Exercises 1940. evaluate the integral.
 7.4.41: In Flxercises 4144, complete the square and evaluate theintegral.
 7.4.42: In Flxercises 4144, complete the square and evaluate theintegral.
 7.4.43: In Flxercises 4144, complete the square and evaluate theintegral.
 7.4.44: In Flxercises 4144, complete the square and evaluate theintegral.
 7.4.45: In Exercises 4550, evaluate the integral using (al the givenintegr...
 7.4.46: In Exercises 4550, evaluate the integral using (al the givenintegr...
 7.4.47: In Exercises 4550, evaluate the integral using (al the givenintegr...
 7.4.48: In Exercises 4550, evaluate the integral using (al the givenintegr...
 7.4.49: In Exercises 4550, evaluate the integral using (al the givenintegr...
 7.4.50: In Exercises 4550, evaluate the integral using (al the givenintegr...
 7.4.51: In Exercises 5154, use a computer algebra system to evaluatethe in...
 7.4.52: In Exercises 5154, use a computer algebra system to evaluatethe in...
 7.4.53: In Exercises 5154, use a computer algebra system to evaluatethe in...
 7.4.54: In Exercises 5154, use a computer algebra system to evaluatethe in...
 7.4.55: State the substitution you would make it you used trigonometric sub...
 7.4.56: State the method of integration \oti uouki use lo perhirnithe inten...
 7.4.57: Area Fnid the area enclosed b\ the ellipse show n ni the figure.
 7.4.58: Mechanical Design The surface ^)f a machine part region between the...
 7.4.59: Area Find the area of the shaded region of the circle ota. if the c...
 7.4.60: Volume The axis of a storage tank m the form of a right circular cy...
 7.4.61: Vnlume of a Torus In KAtrcises 61 iind 62. find the \ohniie of the...
 7.4.62: Vnlume of a Torus In KAtrcises 61 iind 62. find the \ohniie of the...
 7.4.63: Arc l.cuiilli In Kxertises 63 and 64, find the are length of theeur...
 7.4.64: Arc l.cuiilli In Kxertises 63 and 64, find the are length of theeur...
 7.4.65: Arc Length Show that the length of one arch of the sine curveis equ...
 7.4.66: Conjecture(a) Find formulas for the distance between (0,(1) and (a....
 7.4.67: I'mjectile Motion In Exercises 67 and ftS, (a) use a graphingutilit...
 7.4.68: I'mjectile Motion In Exercises 67 and ftS, (a) use a graphingutilit...
 7.4.69: Centioiil In Kxercises 69 and 70, llnd the cenlroid of the regionde...
 7.4.70: Centioiil In Kxercises 69 and 70, llnd the cenlroid of the regionde...
 7.4.71: Surface Area Find the surface area of the solid generatetl hy re\oh...
 7.4.72: Average Field Strength The tleld strength H of a magnet oflength 2L...
 7.4.73: Fluid Force Find the fliiid lorce on a circular obser\ation umdou o...
 7.4.74: Fluid Force Evaluate the following two integrals, whichyield the fl...
 7.4.75: Tractrix A person moves from the origin along the positiveyaxis pu...
 7.4.76: Modeling Data For the years U)M( I through 1VM7. the averagesize S ...
 7.4.77: True or False? In Exercises 77SO, determine whether the statement ...
 7.4.78: True or False? In Exercises 77SO, determine whether the statement ...
 7.4.79: True or False? In Exercises 77SO, determine whether the statement ...
 7.4.80: True or False? In Exercises 77SO, determine whether the statement ...
 7.4.81: Use trigonometric substitution to \erii\ the integration forniulas ...
Solutions for Chapter 7.4: Trigonometric Substitution
Full solutions for Calculus of A Single Variable  7th Edition
ISBN: 9780618149162
Solutions for Chapter 7.4: Trigonometric Substitution
Get Full SolutionsSince 81 problems in chapter 7.4: Trigonometric Substitution have been answered, more than 25256 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 7.4: Trigonometric Substitution includes 81 full stepbystep solutions.

Annuity
A sequence of equal periodic payments.

Arrow
The notation PQ denoting the directed line segment with initial point P and terminal point Q.

Combinatorics
A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

Direction vector for a line
A vector in the direction of a line in threedimensional space

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

Explicitly defined sequence
A sequence in which the kth term is given as a function of k.

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

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

Linear regression equation
Equation of a linear regression line

Lower bound test for real zeros
A test for finding a lower bound for the real zeros of a polynomial

Minute
Angle measure equal to 1/60 of a degree.

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

NINT (ƒ(x), x, a, b)
A calculator approximation to ?ab ƒ(x)dx

nth root
See Principal nth root

PH
The measure of acidity

Real number
Any number that can be written as a decimal.

Reflection across the yaxis
x, y and (x,y) are reflections of each other across the yaxis.

Solve a triangle
To find one or more unknown sides or angles of a triangle

Solve an equation or inequality
To find all solutions of the equation or inequality