​ Tìm ∫2x+1 dx

Question

Tìm \(\int 2^{x+1}\) dx 
 

A. \(\frac{2^{x+1} }{\ln 2} . \)

B. \(\frac{2^{x+1} }{\ln 2} +C. \)

C. \(2^{x+1} +C. \)

D. \(2^{x+1} .\ln 2+C. \)

Answer 1

Chọn B

Ta có: \(\int 2^{x+1} dx =\int 2^{x+1} d\left(x+1\right)=\frac{2^{x+1} }{\ln 2} +C . \)