jee-main 2018 Q84

jee-main · India · 15apr_shift1 Indefinite & Definite Integrals Integral Equation with Symmetry or Substitution

The value of the integral
$$\int _ { - \frac { \pi } { 2 } } ^ { \frac { \pi } { 2 } } \sin ^ { 4 } x \left( 1 + \log \left( \frac { 2 + \sin x } { 2 - \sin x } \right) \right) d x$$
is
(1) $\frac { 3 } { 16 } \pi$
(2) 0
(3) $\frac { 3 } { 8 } \pi$
(4) $\frac { 3 } { 4 }$

The value of the integral

$$\int _ { - \frac { \pi } { 2 } } ^ { \frac { \pi } { 2 } } \sin ^ { 4 } x \left( 1 + \log \left( \frac { 2 + \sin x } { 2 - \sin x } \right) \right) d x$$

is\\
(1) $\frac { 3 } { 16 } \pi$\\
(2) 0\\
(3) $\frac { 3 } { 8 } \pi$\\
(4) $\frac { 3 } { 4 }$

Paper Questions

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