Question

вычислить интегралы на фото

Answer 1

$28) \: = - \frac{1}{2} cos2x \binom{ \frac{ \pi}{4} }{ - \frac{\pi}{4} } = \\ = - \frac{1}{2} (cos2 \frac{\pi}{4} - cos2 (\frac{- \pi}{4}) ) = 0 \\ \\ \\ 29) \: = \frac{ {x}^{4} }{4} \binom{0}{ - 1} = \frac{ {0}^{4} }{4} - \frac{ {( - 1)}^{4} }{4} = \\ = 0 - \frac{1}{4} = - \frac{1}{4} \\ \\ \\ 30) \: = \frac{1}{2} {e}^{2x} \binom{ln2}{0} = \frac{1}{2} ( {e}^{2ln2 } - {e}^{2 \times 0}) = \\ = \frac{1}{2} (4 - 1) = \frac{3}{2}$