jee-advanced 2017 Q50

jee-advanced · India · paper2 Integration by Substitution Determine J−I or Compare Related Integrals via Substitution

If $I = \sum _ { k = 1 } ^ { 98 } \int _ { k } ^ { k + 1 } \frac { k + 1 } { x ( x + 1 ) } d x$, then
[A] $I > \log _ { e } 99$
[B] $I < \log _ { e } 99$
[C] $I < \frac { 49 } { 50 }$
[D] $I > \frac { 49 } { 50 }$

If $I = \sum _ { k = 1 } ^ { 98 } \int _ { k } ^ { k + 1 } \frac { k + 1 } { x ( x + 1 ) } d x$, then

[A] $I > \log _ { e } 99$

[B] $I < \log _ { e } 99$

[C] $I < \frac { 49 } { 50 }$

[D] $I > \frac { 49 } { 50 }$

Paper Questions

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