Доказать что F первообразна для f - id1760016520230105 от sapesalex 05.01.2023 02:46

Question

Математика: Доказать что F первообразна для f

sapesalex · Accepted Answer

8/5 • 8 + 29/10 • 5 (60–75/4) : 25 =
= 21 1/20
1) 8/5 • 8 = 64/5
2) 60–75/4 = 165/4
3) 5 • 165/4 = 825/4
4) 825/4 : 25 = 825/100 = 33/4
5) 64/5 + 33/4 = (256+165)/20 =
= 421/20 = 21 1/20

15/2 • 1/3–1/2 (7/12+3/20) • 15 = –3
1) 15/2 • 1/3 = 15/6
2) 7/12+3/20 = (35+9)/60 = 44/60 =
= 11/15
3) 1/2 • 11/15=11/30
4) 11/30 • 15 = 11/2
5) 15/6–11/2 = (15–33)/6 = –18/6 = –3

19/2 : 19/10–21/5 (6+15/2) : 15=1 11/50
1) 19/2 : 19/10 = 5
2) 6+15/2 = 27/2
3) 21/5 • 27/2 = 567/10
4) 567/10 : 15 = 567/150
5) 5–567/150 = 183/150 = 1 33/150 =
= 1 11/50

58/25 • 15/29+4/5•(22/15+1/3) •5 =
= 11 1/15
1) 58/25 • 15/29 = 6/5
2) 22/15+1/3 = 37/15
3) 4/5 • 37/15 = 148/75
4) 148/75 • 5 = 148/15
5) 6/5+148/15 = (18+148)/15 = 166/15 =
= 11 1/15

$a)F(x)=\sqrt{x} +\sqrt{x^{3} } ;f (x) =\frac{1}{2\sqrt{x} }+ \frac{3}{2} \sqrt{x} \\b)F(x)=3-cos^{2} x; f(x)=sin2x$ Доказать что F первообразна для f

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