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Chapter 5: Q 30. (page 452)

Solve the following integral.
$\int c s c^{2} x d x$

Short Answer

Expert verified

Answer is $- c o t x + C$

Step by step solution

Step 1. Given information

An integral is $\int c s c^{2} x d x$

Step 2. Explanation

$\int c s c^{2} x d x = - c o t x + C$

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Most popular questions from this chapter

Explain how to know when to use the trigonometric substitutions $x = a \sin u, x = a \tan u, a n d x = a \sec u$ , Describe the trigonometric identity and the triangle that will be needed in each case. What are the possible values for $x$ and $u$ in each case?

Solve the integral: $\int x \ln \sqrt{x} d x$

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$u (x) = \frac{1}{x}$

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(a) with the substitution $u = x^{2} - 1,$ followed by back substitution;

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Solve the following integral.
$\int c s c^{2} x d x$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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Most popular questions from this chapter

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Solve the following integral.∫csc2xdx

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Solve the following integral.
$\int c s c^{2} x d x$