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What is the integral of int tan(2x) dx?

∫1/xdx=ln|x|+C u=cos(2x)⇒du=−2sin(2x)dx ∫tan(2x)dx=∫sin(2x)/cos(2x)dx =−12∫1/cos(2x)(−2sin(2x))dx =−12∫1/udu =−12ln|u|+C =−12ln|cos(2x)|+C

How do you factor completely x3 + y3 + z3 – 3xyz?

x3+y3+z3−3xyz=0 ⇒x3+y3+3x2y+3xy2+z3−3xyz−3x2y−3xy2=0 ⇒(x+y)3+z3−3xy(x+y+z)=0 ⇒(x+y+z)((x+y)2+z2−(x+y)z)−3xy(x+y+z)=0 ⇒(x+y+z)(x2+2xy+y2+z2−xy−xz−3xy)=0 ⇒(x+y+z)(x2+y2+z2−xy−yz−zx)=0.

Battle of Haifa

The Battle of Haifa was a decisive battle fought on 23 September 1918,, where the elements consisting mainly of Indian... View Article

Chand Bibi

Chand Bibi was a ruler and military leader from the Deccan region known for the spirited defense of her realm... View Article