jee-main 2020 Q67

jee-main · India · session2_04sep_shift2 Indefinite & Definite Integrals Definite Integral Evaluation (Computational)
The integral $\int _ { \frac { \pi } { 6 } } ^ { \frac { \pi } { 3 } } \tan ^ { 3 } x \cdot \sin ^ { 2 } 3 x \left( 2 \sec ^ { 2 } x \cdot \sin ^ { 2 } 3 x + 3 \tan x \cdot \sin 6 x \right) d x$ is equal to:
(1) $\frac { 7 } { 18 }$
(2) $- \frac { 1 } { 9 }$
(3) $- \frac { 1 } { 18 }$
(4) $\frac { 9 } { 2 }$ 
The integral $\int _ { \frac { \pi } { 6 } } ^ { \frac { \pi } { 3 } } \tan ^ { 3 } x \cdot \sin ^ { 2 } 3 x \left( 2 \sec ^ { 2 } x \cdot \sin ^ { 2 } 3 x + 3 \tan x \cdot \sin 6 x \right) d x$ is equal to:\\
(1) $\frac { 7 } { 18 }$\\
(2) $- \frac { 1 } { 9 }$\\
(3) $- \frac { 1 } { 18 }$\\
(4) $\frac { 9 } { 2 }$
Paper Questions
Q3 Q4 Q5 Q6 Q7 Q21 Q22 Q24 Q25 Q26 Q51 Q52 Q53 Q54 Q55 Q56 Q57 Q58 Q59 Q60 Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70 Q71 Q72 Q73