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