 7.4.1: Split the functions in Exercises 17 into partial fractions.
 7.4.2: Split the functions in Exercises 17 into partial fractions.
 7.4.3: Split the functions in Exercises 17 into partial fractions.
 7.4.4: Split the functions in Exercises 17 into partial fractions.
 7.4.5: Split the functions in Exercises 17 into partial fractions.
 7.4.6: Split the functions in Exercises 17 into partial fractions.
 7.4.7: Split the functions in Exercises 17 into partial fractions.
 7.4.8: In Exercises 814, find the antiderivative of the function in the gi...
 7.4.9: In Exercises 814, find the antiderivative of the function in the gi...
 7.4.10: In Exercises 814, find the antiderivative of the function in the gi...
 7.4.11: In Exercises 814, find the antiderivative of the function in the gi...
 7.4.12: In Exercises 814, find the antiderivative of the function in the gi...
 7.4.13: In Exercises 814, find the antiderivative of the function in the gi...
 7.4.14: In Exercises 814, find the antiderivative of the function in the gi...
 7.4.15: In Exercises 1519, evaluate the integral.
 7.4.16: In Exercises 1519, evaluate the integral.
 7.4.17: In Exercises 1519, evaluate the integral.
 7.4.18: In Exercises 1519, evaluate the integral.
 7.4.19: In Exercises 1519, evaluate the integral.
 7.4.20: In Exercises 2022, use the substitution to find the integral.
 7.4.21: In Exercises 2022, use the substitution to find the integral.
 7.4.22: In Exercises 2022, use the substitution to find the integral.
 7.4.23: Which of the following integrals are best done by a trigonometric s...
 7.4.24: Give a substitution (not necessarily trigonometric) which could be ...
 7.4.25: Find a value of k and a substitution w such that , 12x 2 (3x + 2)(x...
 7.4.26: Find values of A and B such that , 12x 2 (3x + 2)(x 1) dx = , A dx ...
 7.4.27: Write the integral , 2x + 9 (3x + 5)(4 5x) dx in the form , cx + d ...
 7.4.28: Write the integral , dx 12 4x2 in the form , k dx a2 x2 . Give the ...
 7.4.29: Using the fact that e2x = (ex) 2 , write the integral , ln 7 0 2ex ...
 7.4.30: (a) Evaluate , 3x + 6 x2 + 3x dx by partial fractions. (b) Show tha...
 7.4.31: Complete the square and give a substitution (not necessarily trigon...
 7.4.32: Complete the square and give a substitution (not necessarily trigon...
 7.4.33: Complete the square and give a substitution (not necessarily trigon...
 7.4.34: Complete the square and give a substitution (not necessarily trigon...
 7.4.35: Complete the square and give a substitution (not necessarily trigon...
 7.4.36: Complete the square and give a substitution (not necessarily trigon...
 7.4.37: Complete the square and give a substitution (not necessarily trigon...
 7.4.38: Complete the square and give a substitution (not necessarily trigon...
 7.4.39: Calculate the integrals in 3954.
 7.4.40: Calculate the integrals in 3954.
 7.4.41: Calculate the integrals in 3954.
 7.4.42: Calculate the integrals in 3954.
 7.4.43: Calculate the integrals in 3954.
 7.4.44: Calculate the integrals in 3954.
 7.4.45: Calculate the integrals in 3954.
 7.4.46: Calculate the integrals in 3954.
 7.4.47: Calculate the integrals in 3954.
 7.4.48: Calculate the integrals in 3954.
 7.4.49: Calculate the integrals in 3954.
 7.4.50: Calculate the integrals in 3954.
 7.4.51: Calculate the integrals in 3954.
 7.4.52: Calculate the integrals in 3954.
 7.4.53: Calculate the integrals in 3954.
 7.4.54: Calculate the integrals in 3954.
 7.4.55: In 5564, evaluate the indefinite integral, using a trigonometric su...
 7.4.56: In 5564, evaluate the indefinite integral, using a trigonometric su...
 7.4.57: In 5564, evaluate the indefinite integral, using a trigonometric su...
 7.4.58: In 5564, evaluate the indefinite integral, using a trigonometric su...
 7.4.59: In 5564, evaluate the indefinite integral, using a trigonometric su...
 7.4.60: In 5564, evaluate the indefinite integral, using a trigonometric su...
 7.4.61: In 5564, evaluate the indefinite integral, using a trigonometric su...
 7.4.62: In 5564, evaluate the indefinite integral, using a trigonometric su...
 7.4.63: In 5564, evaluate the indefinite integral, using a trigonometric su...
 7.4.64: In 5564, evaluate the indefinite integral, using a trigonometric su...
 7.4.65: Find the exact area of the regions in 6570.
 7.4.66: Find the exact area of the regions in 6570.
 7.4.67: Find the exact area of the regions in 6570.
 7.4.68: Find the exact area of the regions in 6570.
 7.4.69: Find the exact area of the regions in 6570.
 7.4.70: Find the exact area of the regions in 6570.
 7.4.71: Calculate the integrals in 7173 by partial fractions and then by us...
 7.4.72: Calculate the integrals in 7173 by partial fractions and then by us...
 7.4.73: Calculate the integrals in 7173 by partial fractions and then by us...
 7.4.74: a) Show , 1 sin2 d = 1 tan + C. (b) Calculate , dy y2 5 y2
 7.4.75: Solve 7577 without using integral tables.
 7.4.76: Solve 7577 without using integral tables.
 7.4.77: Solve 7577 without using integral tables.
 7.4.78: A rumor is spread in a school. For 0 <a< 1 and b > 0, the time t at...
 7.4.79: The Law of Mass Action tells us that the time, T , taken by a chemi...
 7.4.80: The momentgenerating function, m(t), which gives useful informatio...
 7.4.81: In 8182, explain what is wrong with the statement.
 7.4.82: In 8182, explain what is wrong with the statement.
 7.4.83: A rational function whose antiderivative is not a rational function.
 7.4.84: An integral whose evaluation requires factoring a cubic.
 7.4.85: A linear polynomial P(x) and a quadratic polynomial Q(x) such that ...
 7.4.86: An integral that can be made easier to evaluate by using the trigon...
 7.4.87: In 8788, decide whether the statements are true or false. Give an e...
 7.4.88: In 8788, decide whether the statements are true or false. Give an e...
 7.4.89: For 8990, which technique is useful in evaluating the integral?
 7.4.90: For 8990, which technique is useful in evaluating the integral?
Solutions for Chapter 7.4: ALGEBRAIC IDENTITIES AND TRIGONOMETRIC SUBSTITUTIONS
Full solutions for Calculus: Single Variable  6th Edition
ISBN: 9780470888643
Solutions for Chapter 7.4: ALGEBRAIC IDENTITIES AND TRIGONOMETRIC SUBSTITUTIONS
Get Full SolutionsCalculus: Single Variable was written by and is associated to the ISBN: 9780470888643. This expansive textbook survival guide covers the following chapters and their solutions. Since 90 problems in chapter 7.4: ALGEBRAIC IDENTITIES AND TRIGONOMETRIC SUBSTITUTIONS have been answered, more than 35266 students have viewed full stepbystep solutions from this chapter. Chapter 7.4: ALGEBRAIC IDENTITIES AND TRIGONOMETRIC SUBSTITUTIONS includes 90 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6.

Absolute maximum
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

Ambiguous case
The case in which two sides and a nonincluded angle can determine two different triangles

Damping factor
The factor Aea in an equation such as y = Aeat cos bt

End behavior
The behavior of a graph of a function as.

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

Independent variable
Variable representing the domain value of a function (usually x).

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Jump discontinuity at x a
limx:a  ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

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

Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(AB) # P(B)

NDER ƒ(a)
See Numerical derivative of ƒ at x = a.

Nonsingular matrix
A square matrix with nonzero determinant

Parameter interval
See Parametric equations.

Partial fraction decomposition
See Partial fractions.

Placebo
In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

Positive numbers
Real numbers shown to the right of the origin on a number line.

Singular matrix
A square matrix with zero determinant

Transpose of a matrix
The matrix AT obtained by interchanging the rows and columns of A.

Wrapping function
The function that associates points on the unit circle with points on the real number line