Главная
/
Математика
/
Select All Expressions Matching the Value of Indefinite Integral Int (c^x-c^-x)dx E^x+(1)/(e^x)+C E^x-e^-x+C E^x+e^-x+C

Вопрос

Select all expressions matching the value of indefinite integral int (c^x-c^-x)dx e^x+(1)/(e^x)+C e^x-e^-x+C e^x+e^-x+C (e^2x+1)/(e^x)+C

Решения

4.7 (268 Голоса)
Федосей
Экспертная проверка
профессионал · Репетитор 6 лет

Ответ

To find the indefinite integral , we can use the properties of exponential functions and integration.The correct answer is: Explanation:The integral can be rewritten as .Using the properties of exponential functions, we know that , where is the hyperbolic sine function.Integrating with respect to gives , where is the hyperbolic cosine function.Since , we can rewrite the integral as .Therefore, the correct answer is .