The indefinite integral of sin(x) with respect to x equals which expression?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Master the AIChE Chemical Engineering Jeopardy Exam. Ace your test with engaging flashcards and challenging multiple-choice questions, every question comes with useful hints and clear explanations. Prepare thoroughly for your success!

Multiple Choice

The indefinite integral of sin(x) with respect to x equals which expression?

Explanation:
Finding an antiderivative means finding a function whose derivative is the given function. For sin x, a function whose derivative is sin x is -cos x, because the derivative of cos x is -sin x. Differentiating -cos x gives sin x, so the indefinite integral is -cos x + C. The constant C accounts for any vertical shift and is necessary for the most general antiderivative.

Finding an antiderivative means finding a function whose derivative is the given function. For sin x, a function whose derivative is sin x is -cos x, because the derivative of cos x is -sin x. Differentiating -cos x gives sin x, so the indefinite integral is -cos x + C. The constant C accounts for any vertical shift and is necessary for the most general antiderivative.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy