Question Number 100948 by Dwaipayan Shikari last updated on 29/Jun/20

Commented byDwaipayan Shikari last updated on 29/Jun/20

lim_(n→∞) (1/n) Σ_(r=1) ^n ((r/n))sec^2 ((r/n))^2 ∫_0 ^1 xsec^2 x^2 dx=(1/2)∫_0 ^1 2xsec^2 x^2 dx=(1/2)∫_0 ^1 sec^2 tdt Suppose x^2 =t =(1/2)[tan t]_0 ^1 =(1/2)tan1