https://file.aiquickdraw.com/mathbot/file/1726370267060vgpctega.jpg

The problem in the image asks for the value of the integral:

\[
\int \csc x \cot x \, dx
\]

### Solution:
We can solve this integral by recognizing that the derivative of \(\csc x\) is \(-\csc x \cot x\). Thus, the integral is straightforward:

\[
\int \csc x \cot x \, dx = -\csc x + C
\]

Where \(C\) is the constant of integration.

### Conclusion:
The correct answer is:

\[
\boxed{B: -\csc x + C}
\]

Would you like more details on the integration process or have any other questions?

Here are 5 related questions for further practice:
1. What is the integral of \(\csc^2 x\)?
2. How do you integrate \(\sec x \tan x\)?
3. What is the derivative of \(\cot x\)?
4. How do you solve \(\int \sin x \, dx\)?
5. What is the integral of \(\sec^2 x\)?

**Tip**: When integrating trigonometric functions, look out for standard derivatives that can help you reverse the process quickly.

The value of the integral ∫cosec(x)cot(x) dx

Learn how to solve the integral ∫cosec(x)cot(x) dx step by step. This problem involves trigonometric integration and is suitable for undergraduate calculus students. Key concepts include recognizing standard trigonometric derivatives and applying the fundamental theorem of calculus.

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