вычислить интеграл ∫[tex]\frac{3*2^x-2*3^x}{2^x}[/tex] dx. Created by dhgfjdjhd. algebra-ru

tex] dx...

dhgfjdjhd @dhgfjdjhd

May 2022 1 15 Report

вычислить интеграл ∫[tex]\frac{3*2^x-2*3^x}{2^x}[/tex] dx

Answers & Comments

kmike21

Verified answer

Ответ:

Объяснение:

$\int {\frac{3*2^x-2*3^x}{2^x} \, dx =\int {\frac{3*2^x}{2^x} \, dx - \int {\frac{2*3^x}{2^x} \, dx= \int {3} \, dx - 2 \int {(\frac{3}{2})^x} \, dx= 3x -2 \frac{(\frac{3}{2})^x}{ln\frac{3}{2}} +C=$

$=3x -\frac{2*3^x}{2^x(ln3 - ln2)} +C$

1 votes Thanks 1

dhgfjdjhd спасибоньки

Answers & Comments

Verified answer

Helpful Links

Helpful Social