Search over 10,000 free study notes

Expand: x 2 + 2x + 3x +6 = 2x+4 Take (2x+4) from both sides: x 2 +3x+2 = 0 Facorise: (x+2)(x+1) = 0 So solutions are x=-2 and x=-1

Using "Integration by parts" or "reverse chain rule" . Recall formula for intergration by parts: "∫f'(x) g(x) dx = f(x)g(x) - ∫f(x)g'(x)dx" Then set f'(x) = 1, g(x) = log(x). Ca...

Use the chain rule: f'(x) = v(du/dx) +u(dv/dx). Let u = 2x, du/dx = 2, v = lnx, dv/dx = 1/x Using this information: f'(x) = 2lnx + 2x/x This simplifies to f'(x) = 2lnx +2.

First factorise the equation into 2 sets of brackets: You can do this by looking at the constant in the quadratic, 8. Try and find 2 numbers that multiply together to make 8 (such as 4 and 2), and that can b...

1) Enthusiasm. The examiners want to see your interests and passion in Math exploration in your everyday life. So, do research, get inspired and look for mathematic application in your interests before you d...