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Integrate lnx

This question often throws maths students off fairly easily as they are generally not taught the integral of lnx, and do not usually realise that integration by parts can be used for anything, as you can use...
OM
Answered by Owen M. • Maths tutor
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How effective was the nuclear arms race in restraining the aggression of the superpowers in the years 1955 to 1963?

This is a common A2 exam question for those studying the Cold War. When tutoring a student, I would identify their course and study the mark scheme for the board they are being examined with and frame their ...
GS
Answered by Georgia S. • History tutor
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Find the coordinates of the stationary point of the graph y = 3x^2 - 12x

Firstly, we need to differentiate the equation to find an equation for the gradient of the line.dy/dx = 6x-12We know the original graph was quadratic, and therefore only has one stationary point. This is whe...
JM
Answered by Jack M. • Maths tutor
7022 Views

With the aid of a diagram describe the events occurring in the neurone leading to the establishment of an action potential

Voltage-gated Na + channels and Voltage-gated K + channels are closed at rest, Once a stimulus is applied, the neurotransmitters activate chemically-gated (CG) channels within the cell membrane. CG Na + chan...
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Answered by Olga Y. • Biology tutor
3801 Views

Find the Taylor Series expansion of tan(x) about π/4 up to the term in terms of (x-π/4)^3.

Firstly, set f(x) = tan(x). We can then differentiate this 3 times in order to find f'(x), f''(x) and f'''(x). This will require use of the chain rule and the product rule. We can find:f'(x) = sec 2 xf''(x) ...
JM
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