Предмет: Алгебра, автор: Аноним

вычислительной определённый интеграл

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Ответы

Автор ответа: nKrynka

Решение
Вначале вычислим интеграл: 3sinx -2tgx
Теперь применяем формулу Ньютона-Лейбница:
вначале подставляем верхний предел интегрирования (π/4), затем ставим знак минус и подставляем верхний предел интегрирования:
(3*sin(π/4) -2*tg(π/4) - (3*sin(π/6) - tg(π/6)) = 3*(√2/2) - 2*1 - 3*(1/2) + (√3/3) =
= 3*(√2/2) - 2 - 3/2) + (√3/3) = 3*(√2/2) + (√3/3) - 3,5

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STARS WANT TO SAVE THE WORLD
Hollywood stars are beautiful, talented and generous, too. In fact most stars do some work for charity. Today lots of celebrities, like Angelina Jolie, George Clooney, and Scarlett Johansson do charity work.
In Hollywood it is fashionable to be concerned about the world and the environment. But can actors succeed where politicians failed? Well, some are succeeding very well! When a charity is connected to a star, it gets publicity. People become interested and want to help: Angelina Jolie and Brad Pitt are often in the news because of their work for charity. In 2006 when Jolie was expecting her baby, she let ‘People magazine’ print photos in exchange for a donation to a charity in Haiti. ‘We cannot ignore the fact that millions of people are suffering. I want to help’, says Jolie. Here are some celebriies who are trying to make the world a better place.
Di Caprio is a determined environmentalist. In 2007, he made a documentary 11th hour, about the environment crisis caused by human actions. He flies in commercial planes and not private jets which use more fuel. He thinks that global warming is the biggest problem for humanity.
George Clooney, Matt Damon and Brad Pitt raise 5 million dollars for Darfur crisis during the premiere of Ocean’s thirteen at the Cannes Festival. Now, Clooney wants every film festival to be a charity event. After Matt Damon saw extreme poverty in Zambia and South Africa, he wanted to help other parts of Africa, too. He made a documentary called Running the Sahara to get support for clean water programs in Africa.
In 2001 Scarlett Johansson didn’t go to the Oscars: she preferred to tour India and Sri Lanka for the charity Oxfam. ‘It is strange to come home when you see people living in poverty’, she says, ‘It’s strange to be famous, but this means I can help a lot of people’.
Task 1. Complete the sentences using the words from the text. Write only ONE word.
1. The celebrities are considered not only attractive and gifted but also_________________.
2. In Hollywood some celebrities are worried about the world and the__________________.
3. Some celebrities allow printing their photos in the magazines to make a______________.