jee-main 2023 Q80

jee-main · India · session1_25jan_shift2 Integration by Substitution Substitution to Evaluate a Definite Integral (Numerical Answer)

The integral $16 \int _ { 1 } ^ { 2 } \frac { d x } { x ^ { 3 } \left( x ^ { 2 } + 2 \right) ^ { 2 } }$ is equal to
(1) $\frac { 11 } { 6 } + \log _ { e } 4$
(2) $\frac { 11 } { 12 } + \log _ { e } 4$
(3) $\frac { 11 } { 12 } - \log _ { e } 4$
(4) $\frac { 11 } { 6 } - \log _ { e } 4$

The integral $16 \int _ { 1 } ^ { 2 } \frac { d x } { x ^ { 3 } \left( x ^ { 2 } + 2 \right) ^ { 2 } }$ is equal to\\
(1) $\frac { 11 } { 6 } + \log _ { e } 4$\\
(2) $\frac { 11 } { 12 } + \log _ { e } 4$\\
(3) $\frac { 11 } { 12 } - \log _ { e } 4$\\
(4) $\frac { 11 } { 6 } - \log _ { e } 4$

Paper Questions

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