Search over 10,000 free study notes

Integral(Sin[x]Cos[x]dx) can be calculated. The method is to recognise that the trigonometric identity of 2Sin[x]Cos[x]=Sin[2x] can be applied. This would transform the integral into Integral(0.5Sin[2x]) ...

Since there are two terms multiplying together, when either of them are equal to zero, the total multiplication will also be zero. Ie, 10 x 0 = 0. This means that to find the two roots, we can simply equa...

3x + 6 > 3 - 2x. Firstly move the numerical terms to one side. 3x + 3 > - 2x. Secondly, move all x terms to the same side. 5x + 3 > 0. Finally, put the numerical and x terms to opposite sides, an...

The word "Dativ" comes from latin "dare", meaning "to give". In German, it's the third grammar case. This case is used when someone directly gives, says or declares something...

Shakespeare opens King Lear by introducing the audience to the King’s failing health, and his requirement to distribute his wealth and property amongst his three daughters; Cordelia, Goneril and Reagan. T...