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How do you integrate ln(x)?

I would use the whiteboard and write down y=lnx, and also the integration by parts formula below it. I would then explain how to treat ln(x) as the "u" and "1" as dv/dx; including why thi...
JZ
Answered by Jamie Z. • Maths tutor
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find the gradient of the tangent to the curve y=x^2 at the point (4,16)

First of all you must differentiate this function, as this will give you the gradient function necessary to find the gradient at the point (4,16). To differentiate it you use the formula dy/dx= a n x (n-1) ,...
JM
Answered by Jessica M. • Maths tutor
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How do you find dy/dx for a set of parametric equations?

Using the chain rule:If the parameter used is 't', differentiate each equation with respect to 't' so that you have answers for dy/dt, and dx/dt.From the chain rule it is known that: "dy/dx=dy/du * du/d...
FC
Answered by Federico C. • Maths tutor
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How can the trapezium rule be used to estimate a definite integral?

Are we comfortable with an integral being the area under a curve on a graph? Well we'll draw a curve and think about how we could estimate this area. Would you agree that we could chop up the area under the ...
JS
Answered by Joseph S. • Maths tutor
3495 Views

OCR M2 A level maths June 2015 question 8

In circular motion F = mv 2 /rPlug numbers in ... 6 = 0.4* v 2 / 0.6 ... and rearrange for v = plus or minus 3. Velocity is a vector so it doesn't matter which value you take as it will go round the same cyl...
JS
Answered by Joe S. • Maths tutor
3716 Views