Question

вычислить
$\int\limits^4_1 { (x^{3}+ \frac{1}{ \sqrt{x} }-5) } \, dx$

Answer 1

$\int\limits^4_1 {( x^{3}+x^{- \frac{1}{2} } -5 )} \, dx = \frac{x^{4} }{4}+2 \sqrt{x} -5 x /= \\ \\ =48-(1/4+2-5)=48-1/4+3=50,75$