jee-main 2024 Q75

jee-main · India · session2_04apr_shift2 Indefinite & Definite Integrals Maximizing or Optimizing a Definite Integral

If the value of the integral $\int _ { - 1 } ^ { 1 } \frac { \cos \alpha x } { 1 + 3 ^ { x } } d x$ is $\frac { 2 } { \pi }$. Then, a value of $\alpha$ is
(1) $\frac { \pi } { 3 }$
(2) $\frac { \pi } { 6 }$
(3) $\frac { \pi } { 4 }$
(4) $\frac { \pi } { 2 }$

If the value of the integral $\int _ { - 1 } ^ { 1 } \frac { \cos \alpha x } { 1 + 3 ^ { x } } d x$ is $\frac { 2 } { \pi }$. Then, a value of $\alpha$ is\\
(1) $\frac { \pi } { 3 }$\\
(2) $\frac { \pi } { 6 }$\\
(3) $\frac { \pi } { 4 }$\\
(4) $\frac { \pi } { 2 }$

Paper Questions

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