Suggested languages for you:

Americas

Europe

Problem 12

Evaluate the integrals. \(\int(x+1)\left[\cos \left(x^{2}+2 x\right)+\left(x^{2}+2 x\right)\right] d x\)

Expert verified

The short answer for the integral \(\int(x+1)\left[\cos \left(x^{2}+2 x\right)+\left(x^{2}+2 x\right)\right] d x\) is:
\(\frac{1}{2}\sin{x^2+2x} + \frac{1}{4}x^4 + x^3 + x^2 + C\)

What do you think about this solution?

We value your feedback to improve our textbook solutions.

- Access over 3 million high quality textbook solutions
- Access our popular flashcard, quiz, mock-exam and notes features
- Access our smart AI features to upgrade your learning

Chapter 16

Evaluate the integrals. \(\int_{0}^{\pi / 3} \tan x d x\)

Chapter 16

Use integration by parts to evaluate the integrals. \(\int x \sin x d x\)

Chapter 16

Derive the given formulas from the derivatives of sine and cosine. \( \frac{d}{d x} \sec x=\sec x \tan x\)

Chapter 16

Decide whether each integral converges. If the integral converges, compute its value. \(\int_{0}^{+\infty} \sin x d x\)

Chapter 16

Calculate the derivatives. \(\vee \frac{d}{d x}([\ln |x|][\cot (2 x-1)])\)

The first learning app that truly has everything you need to ace your exams in one place.

- Flashcards & Quizzes
- AI Study Assistant
- Smart Note-Taking
- Mock-Exams
- Study Planner