Top network posts

• 12 How do you evaluate $\int_{0}^{\frac{\pi}{2}} \frac{(\sec x)^{\frac{1}{3}}}{(\sec x)^{\frac{1}{3}}+(\tan x)^{\frac{1}{3}}} \, dx ?$
• 10 How do you find the value of $\sum_{r=0}^{44} \tan^2(2r+1)$?
• 8 How do you find the maximum value of $|z^2 - 2iz+1|$ given that $|z|=3$, using triangle inequality?
• 6 How do you solve this limit involving definite integration?
• 6 What is the probability of a pen touching a bar given that the length of the pen is $10$ cm and the bars are regularly spaced at $15$ cm?
• 5 How do you find $∠XPC$ + $∠XPB$ such that $PB+PC$ is maximum where $P$ is a point on $f(x) = (x-1)(x-3)(x-5)$?
• 5 Geometrical interpretation $|z-1| = Re(z+1)$
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