Search our library of Maths A Level questions

Top answers

Maths

A Level

Solve for -pi < x < pi: tanx = 4cotx + 3

tanx = 4cotx + 3 - Multiply through by tan to form a quadratic. tan^2x = 4 + 3tanx - Simplify by allowing y to equal tanx. y^2 = 4 + 3y - Rearange to standard quadratic form. y^2 - 3y -4 = 0 - Factorise....

Answered by Zak L. • Maths tutor

5769 Views

How would you differentiate 3x^4 - 2x^2 + 9x - 1

First we follow the "times by the power and take one from the power" rule. This is the easiest way to remember how to differentiate anything.

So (3x4)x^(4-1) -(2x2)x^(2-1)<...

Answered by Cathy E. • Maths tutor

2902 Views

Integrate the following expression with respect to x by parts: (2x)sin(x)

The integration by parts formula: S:udv/dx = uv - S:v*du/dx, where S: means "Integral of with respect to x"

Let 2*x be u and sin(x) be dv/dx

So du/dx =2 and v= -cos(x)

Answered by David P. • Maths tutor

2876 Views

When I integrate by parts how do I know which part of the equation is u and v'?

To determine which function is your u value in the by parts equation, you can use the acronym LATE to find the order of precedence for this value. LATE stands for: Logarithmic functions Arithmetric functi...

Answered by Ben A. • Maths tutor

2904 Views