Phys/math/chess

Nebo - X - Page 1 ∫ 0 1 ln x + 1 x 2 + 1 dx = ? we substitute x = tan t = sin t cos t dx = cos t · cos t + sin t · sin t cos 2 t = 1 cos 2 t = sec 2 t dt Also note that tan 2

Nebo - Fifth - Page 1 What is science ? Everyone around us has some idea about nature and their relation to it . Science is fact based ideas come together . You observe nature try to understant your observations and predict new things but those must be checked by experiments and critical thinking This way we build up an understanding for nature which we address as science . There is no place of unchecked ideas in science . we do research that is we search same things again and again to be sure it is correct . If experiment shows an idea wrong we may completely discard it . Now a physics question Lets solve a standard collision problem . a particle of mass m collide and deflect with some angle from a no then particle of same mass . Let's find a relation between velocity