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How do you integrate ln(x)?

Use the method of integration by parts. uv-integral(v.du/dx). Make u equal to ln(x) and dv/dx equal to 1. Therefore v=x and du/dx=1/x. Hence uv=xln(x). And v.du/dx=x/x=1. Substituting these into the 'by p...

Answered by Michael S. • Maths tutor

3390 Views

How does the PDO (preceding direct object) rule work?

The past participle of the passé composé will reflect the gender and number of the preceding direct object. It is important to remember that it does not occur on the INdirect object.

For example,

Answered by Eloise S. • French tutor

2786 Views

Evaluate the view that reducing unemployment inevitably has trade-offs with other macroeconomic objectives.

This is a typical essay question, so start off by defining key terms for later use in the answer, such as what a trade-off is, and what the other macroeconomic objectives are. Then, go on the apply and an...

Answered by Ross B. • Economics tutor

7621 Views

How do you differentiate y=sin(cos(x))?

To solve this question we will use the chain rule, as we can see that we have one function being applied to another, i.e sin is being applied to cos(x).

This means we are able to replace the origin...

Answered by Marcel P. • Maths tutor

18472 Views

Differentiate y=4x^2+3x+9

Use the rule of "bringing down the power" and then reducing the power by 1. Start with 4x^2. "Bring down" the 2 to make (4)(2)x^2, then reduce the power by 1 to make 8x. Now repeat thi...

Answered by Tarryn R. • Maths tutor

6102 Views