jee-main 2019 Q84

jee-main · India · session2_09apr_shift1 Indefinite & Definite Integrals Integral Equation with Symmetry or Substitution
The value of $\int _ { 0 } ^ { \pi / 2 } \frac { \sin ^ { 3 } x } { \sin x + \cos x } d x$ is:
(1) $\frac { \pi - 1 } { 2 }$
(2) $\frac { \pi - 2 } { 8 }$
(3) $\frac { \pi - 1 } { 4 }$
(4) $\frac { \pi - 2 } { 4 }$
The value of $\int _ { 0 } ^ { \pi / 2 } \frac { \sin ^ { 3 } x } { \sin x + \cos x } d x$ is:\\
(1) $\frac { \pi - 1 } { 2 }$\\
(2) $\frac { \pi - 2 } { 8 }$\\
(3) $\frac { \pi - 1 } { 4 }$\\
(4) $\frac { \pi - 2 } { 4 }$