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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...

When you are expanding a double bracket you have to multiply each each in one bracket against the two others terms in the other bracket. So starting with X: X times the first term in the other bracket whi...

First rearrange the equation dy/dx = x³ + 5x Then move the dx to the RHS of the equation dy = ( x³+ 5x)dxThen integrate both sides, with respect to y on the LHS and with respect to x...