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Can you explain where the "Integration by parts" formula comes from?

Sure. If you remember how to calculate d/dx(uv) then you can understand how integration by parts works. d/dx(uv) = u(dv/dx) + v(du/dx). we can re-arrange this: u(dv/dx) = d/dx(uv) - v(du/dx). Now integrat...

CF
Answered by Christian F. Maths tutor
3428 Views

Find the derivative of the curve e^(xy) = sin(y)

First we have to identify that implicit differentiation is used to solve this question. We can differentiate the first the LHS first, by using the chain rule, we know that the differentiation of e^(xy) is...

GG
Answered by Gouri G. Maths tutor
7251 Views

Differentiate (2a+3)^5/2 with respect to a

Let u=2a+3, therefore du/da=2. Let y=u^5/2, therefore dy/du=5/2(u)^3/2 Hence dy/da=du/da*dy/du=2(5/2)*u^3/2=5u^3/2

GT
Answered by George T. Maths tutor
3825 Views

How do I write an effective introduction to an essay question?

In most cases, an essay question is asking you to debate a certain topic. For example, if you were to study Doctor Faustus, a question-title may be "Does Marlowe present Faustus as a character with w...

HB
3887 Views

A pizza has a radius of 12cm. Calculate the area of the pizza in cm² , giving your answer as a multiple of π.

So for this question you would need to know the formula for the area of a circle. This is Area = πr^2. In this formula, r = the radius. We are given the radius in the question. So all we need to do is put...

JH
Answered by Jess H. Maths tutor
5639 Views

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