MystifiedBoy
Asked:
January 2023
Hey Brainiacs ! Find derivative [tex]\clubsuit \: \boxed{ \displaystyle \rm y=\int_{0}^{ lnx} sine^t\ dt}[/tex]
Evaluate :-[tex]\bullet \: \underline{\displaystyle \sf \int\limits_{0}^{\pi/4} \cos( {2x}^{2} + x)dx}[/tex][JEE , NEET]
MystifiedBoy
Asked:
December 2022
Given,[tex]\displaystyle \sf\Omega(n)=\sum_{k=2}^{n-1} \int_{0}^{\frac{\pi}{4}} \frac{\sin ^{2 k+1} x \cos ^{k} x+\sin ^{k} x \cos ^{2 k+1} x}{\sin ^{3 k+3} x+\cos ^{3 k+3} x} [/tex]Then find,[tex]\displaystyle \sf\lim _{n \rightarrow \infty} \frac{\Omega(n)}{n}[/tex]
Verify the following reduction formula: