- 9-8.Q1: To integrate a product, use ?.
- 9-8.Q2: To integrate a rational function, use ?.
- 9-8.Q3: To integrate dx, use the ? trigonometric substitution.
- 9-8.Q4: To integrate dx, use the ? trigonometric substitution.
- 9-8.Q5: To integrate dx, use the ? trigonometric substitution.
- 9-8.Q6: Integrate: (x2 + 1)7(x dx)
- 9-8.Q7: If f(x) = 3 + |x 5|, then the maximum of f(x) on [1, 6] is ?.
- 9-8.Q8: If f(x) = 3 + |x 5|, then the minimum of f(x) on [1, 6] is ?.
- 9-8.Q9: If f(x) = 3 + |x 5|, then (5) is ?.
- 9-8.Q10: If h(x) = x3 + x, then the graph of h has a point of inflection at ...
- 9-8.1: For 16, find the indefinite integral. Check your answer against tho...
- 9-8.2: For 16, find the indefinite integral. Check your answer against tho...
- 9-8.3: For 16, find the indefinite integral. Check your answer against tho...
- 9-8.4: For 16, find the indefinite integral. Check your answer against tho...
- 9-8.5: For 16, find the indefinite integral. Check your answer against tho...
- 9-8.6: For 16, find the indefinite integral. Check your answer against tho...
- 9-8.7: Answer Verification Problem: Evaluate the integral tan1 x dx algebr...
- 9-8.8: Simpsons Rule Review Problem: Plot the graph of y = sec1 x from x =...
- 9-8.9: Area Problem: Figure 9-8a shows the region above the graph of y = s...
- 9-8.10: Volume Problem: Figure 9-8b shows the region under the graph of y =...
Solutions for Chapter 9-8: Integrals of the Inverse Trigonometric Functions
Full solutions for Calculus: Concepts and Applications | 2nd Edition
A sequence of equal periodic payments.
A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable
Complements or complementary angles
Two angles of positive measure whose sum is 90°
A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis
A ratio equal to 1, used for unit conversion
Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2
The amount of time required for half of a radioactive substance to decay.
Variable representing the domain value of a function (usually x).
Left-hand limit of f at x a
The limit of ƒ as x approaches a from the left.
An expression of the form logb x (see Logarithmic function)
See Numerical derivative of ƒ at x = a.
Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line
For a basic trigonometric function f, an identity relating f(x) to f(-x).
Polar distance formula
The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22
A procedure for fitting a curve y = a . x b to a set of data.
Quotient of functions
a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0
Two points that are symmetric with respect to a lineor a point.
The magnitude of the velocity vector, given by distance/time.
An interval that extends to -? or ? (or both).
Vertex of a parabola
The point of intersection of a parabola and its line of symmetry.