Power of JEE 2017 advanced

Calculus Level 4

If I=k=198kk+1k+1x(x+1)dx\displaystyle I=\sum_{k=1}^{98}\int_{k}^{k+1}\frac{k+1}{x(x+1)}dx , then which of the following are correct?

\quad A. I>4950\quad I>\frac{49}{50}

\quad B. I<4950\quad I<\frac{49}{50}

\quad C. I>ln(99)\quad I>\ln(99)

\quad D. I<ln(99)\quad I<\ln(99)

×

Problem Loading...

Note Loading...

Set Loading...