Question

\(( \int_0^1 \log(x + 1) , dx = )\)

 

• A. \(( \log 2 - 1 ) \)
• B. \(( \log 2 - 1 ) \)
• C. \(( 2\log 2 + 1 ) \)
• D. \(( 2\log 2 - 1 )\)

Hint:

$\int \log x \, dx = x\log x - x$. Use this by shifting $x$ to $x+1$.

Answer 1

The Correct Option is D