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Chapter 4: Q. 39 (page 404)

Integral Formulas: Fill in the blanks to complete each of the following integration formulas.
$\int s e c x \tan x d x = . . . . . . . . . . . . . . . .$

Short Answer

Expert verified

The value of $\int s e c x \tan x d x = s e c x + C$ .

Step by step solution

01

Step 1. Given information .

Consider the given integral function $\int s e c x \tan x d x$ .

02

Step 2. Fill the blank for ∫sec x tan x dx .

The integral of basic function $\int s e c x \tan x d x = s e c x + C$ .

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Most popular questions from this chapter

Use the graph of f to estimate the values of A(1), A(2), A(3)

Given a simple proof that $\sum_{k = 0}^{n} 3 a_{k} = 3 \sum_{k = 0}^{n} a_{k}$

Show by exhibiting a counterexample that, in general, $\int \frac{f (x)}{g (x)} d x \neq \frac{\int f (x) d x}{\int g (x) d x}$ . In other words, find two functions f and g such that the integral of their quotient is not equal to the quotient of their integrals.

Suppose f is a function whose average value on $[- 3, 1]$ is

$- 2$ and whose average rate of change on the same in-

terval is $4$ . Sketch a possible graph for f . Illustrate the

average value and the average rate of change on your

graph of f .

Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.

$\int_{0}^{1} \frac{x}{1 + x^{2}} d x$

See all solutions

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