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Maths
A Level

Solve ∫(x+2)/(2x^2+1)^3 dx

Since (x+2)/(2x2+1)3 can't be easily simplified into a more straightforward integral, we have to rely on some more advanced integration methods. Before trying things like substitutio...

JM
Answered by Jack M. Maths tutor
5493 Views

A curve is given by the equation y = (1/3)x^3 -4x^2 +12x -19. Find the co-ordinates of any stationary points and determine whether they are maximum or minimun points.

Stationary points - dy/dx =0dy/dx = x2 -8x +12 ( differentiating- early a level skill). Solving x2 -8x +12=0 gives x=6, x=2 (solving quadratics- gcse skill). Subbing these values bac...

JC
Answered by Joseph C. Maths tutor
2806 Views

Find the integral of arctan(x)

This is a complex question, the proof of which is unlikely to be asked at maths A-level, however the process behind the proof practices fundamental knowledge for the subject. If a student can successfully...

EN
Answered by Ellie N. Maths tutor
5156 Views

How do I find a stationary point on the curve?

Well that depends on the curve, but if it is a quadratic, we can do it with the following method. We know that differentiating the equation of the curve will give us the equation of the tangent to that cu...

NR
Answered by Natalia R. Maths tutor
2591 Views

Find dy/dx when y = 4x^1/2

dy/dx means you have to differentiate the equation provided: y = 4x1/2When we differentiate with respect to x we must multiply the power by the coefficient: 1/2 = power by 4 = coefficient which...

CB
Answered by Christopher B. Maths tutor
9097 Views

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