Ответ: S=4,3281 кв. ед.
Объяснение:
[tex]\displaystyle\\y=2^x\ \ \ \ \ \ y=0\ \ \ \ \ \ x=0\ \ \ \ \ \ x=2\ \ \ \ \ \ S=?\\\\S=\int\limits^2_0 {(2^x-0)} \, dx= \int\limits^2_0 {2^x} \, dx=\frac{2^x}{ln2}|_0^2= \frac{2^2}{ln2}-\frac{2^0}{ln2}=\frac{4-1}{ln2}=\frac{3}{ln2}\approx4,3281.[/tex]
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Ответ: S=4,3281 кв. ед.
Объяснение:
[tex]\displaystyle\\y=2^x\ \ \ \ \ \ y=0\ \ \ \ \ \ x=0\ \ \ \ \ \ x=2\ \ \ \ \ \ S=?\\\\S=\int\limits^2_0 {(2^x-0)} \, dx= \int\limits^2_0 {2^x} \, dx=\frac{2^x}{ln2}|_0^2= \frac{2^2}{ln2}-\frac{2^0}{ln2}=\frac{4-1}{ln2}=\frac{3}{ln2}\approx4,3281.[/tex]