Statement-I: ∫ 0 π /4 e t a n x dx ≥ ∫ 0 π /4 e t a n 3 x dx Statement-II: If f ( x ) and g ( x ) are continuous functions of x in [ a , b ] , then f ( x ) g ( x ) implies: ∫ a b f ( x ) dx ≥

Question

Statement-I: ∫ 0 π /4 ​ e t a n x dx ≥ ∫ 0 π /4 ​ e t a n 3 x dx Statement-II: If f ( x ) and g ( x ) are continuous functions of x in [ a , b ] , then f ( x ) > g ( x ) implies: ∫ a b ​ f ( x ) dx ≥ ∫ a b ​ g ( x ) dx

TestHub · Accepted Answer

If 0 ≤ x ≤ 4 π ​ tan 3 x ≤ tan x ∫ 0 π /4 ​ e t a n 3 x d x ≤ ∫ 0 π /4 ​ e t a n x d x

Mathematics - Definite Integration Question with Solution | TestHub

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JEE Main 2027 (Class 12)

JEE Advanced 2027 (Class 12)