# Power of JEE 2017 advanced

Calculus Level 4

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

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

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

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

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

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