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بوسى
منذ 8 سنوات
اجابة 1
مشاهدة
205
اجابة (1)
\int_{ }^{ }\ \frac{س\ +\ 1}{\left(2\ س\ +\ 1\ \right)2}\ ء\ س\ \ =\ \frac{1}{2}\ \int_{ }^{ }\ \frac{2\ س\ +\ 2}{\left(2\ س\ +1\right)3}\ ء\ س\
= \frac{1}{2}\int_{ }^{ }\ \frac{\ 2س\ +\ 1}{\left(2\ س\ +\ 1\right)3}+\frac{1}{\left(2\ س\ +\ 1\right)3}\ \ ء\ س\
= \frac{1}{2}\ \int_{ }^{ }\ \left(2س\ +\ 1\right)-2\ +\ \left(2\ س\ +\ 1\right)-3\ ء\ س\
= \frac{1}{2}\ \left[\frac{1}{2\left(2س\ +\ 1\right)}+\ \frac{1}{4\left(2س\ +\ 1\ \right)2}\right]\ +\ ث
= -\ \frac{1}{2}\left[\frac{1}{2\left(2\ س\ +\ 1\ \right)}+\ \frac{\ 1}{4\left(2\ س\ +\ 1\right)2}\right]+ث